I think you need to redo this video. 1 to the power of 0 is 1. In your answer (before you explained it), you incorrectly said that it is equal to 0. Then in your explanation you contradicted your answer and said it is equal to 1. So both answers cannot be correct, and one is in fact incorrect.
@@helenmak5663 Infinity would be the best possible solution if we had to give one, BUT, it's a cheat, because "infinity" isn't a number. So it's not a valid answer, arithmetically speaking. It's more of a philosophical way of looking at it.
There is an inconsistency in the solution given for 1 raised to power 0. The 1st answer given before showing the explanation is 0, which is inconsistent with the actual answer of 1
All positive numbers to the zero power is 1. (I'm not sure about negative numbers, I THINK -1 to the zero power is 1 but I wouldn't put any money on that)
@@laurendoe168 Every number to the 0 power is 1. The proof involves multiplication/division rules with exponents. (Please note the '^' is used to denote exponent.) Multiplication: (x^a) * (x^b) = x^(a+b) Division: (x^a) / (x^b) = x^(a-b) So if we use division and the constant a is equal to b, then a - b = 0. x^a / x^b = x^0 Any number divided by itself is 1, and x^0 will always be 1. For 0 this gets a little bit more complicated but 0^0 is still basically 1.
My biggest takeaway from this lesson is that the comments are not monitored. Still, this is an excellent resource for anyone wanting help in mastering mathematics
I was never good at math. I was good at everything else, but not math. Algebra was the real killer. Years later it burns me to realise that not one of the ‘teachers’ that were inflicted on me never explained the order of operations. Not once. Whose failure was it?
I never gave it any thought but I only learned about PEMDAS on this channel a couple of weeks ago and at age 67. I knew about doing calculations in Parentheses and Brackets first but that was about it ;-)
Didn’t even need to press play before writing this. *Problem #1.:* I learned in math class that ANY number to the ⁰ is 1. *Problem #2.:* 0÷1=0. If you have nothing, it doesn’t matter how much you divide by, it will always be 0. *Problem #3.:* This is not possible to have an answer for, and why calculators return an “E” (ERROR) when you atrempt this on one. Allow me briefly to explain. You see, you’re taking a quantity of something, in this case 1. It could even be 0 or a negative quantity; that doesn’t matter. What DOES matter is when you put that divide sign in between the quantity, and what you divide by, if you put 0 on the other side, the reason it doesn’t work is because you’re not giving anything for the quantity to be divided by. If the question/problem was 1÷1 for example, you’d be able to reach an answer: 1. But you simply cannot divide by 0, because again, that, more simply put, is not dividing at all.
We were taught the same about any number divided by zero was undefined, however we were also taught that zero divided by zero is "Indeterminate". In there words the answer could be 0, or 1 or 2 or 3 etc. The math teachers' reasoning that by multiplying the answer (0 or , 1 or 2, etc). by the deliminator (zero) always worked out to be the numerator (zero). Zero times 1 is zero, zero times 2 is zero, etc. So in a sense the answer was Indeterminate.
Is undefined the same as infinite because when the denominator trends towards zero the answer becomes larger and larger until it becomes infinite i.e. which I assume in mathematical terms is undefined.
@@poetjenoetje If you're talking in terms a an arithmetically correct answer, then you were taught wrong. "Infinity" isn't a number. As I said above, that's more of a philosophical way of looking at it. Or as someone else put it in the comment immediately above, it's better thought of as a limit in calculus. But for arithmetic purposes, there's no number you can point to and say "That is the number you get when you divide by zero".
I see comments on this already. First you said 1 to zero power was o. Then in explanation 1 to zero power is 1. In fact you show everything to zero power is 1. What part of your explanation is the correct answer. 0 or 1
the other way to explain it is you can't add any amount of 0s to equal a Positive or Negative integer. thus any Positive or negative Integer divided by 0 is undefined (not possible) . and there is the unique case of 0 devided by 0 is any number you want to say it is.
At 2::13 you give 1 to the 0 power as 0 At 4:04 you give the answer as 1 My original answers were 1, 0, and undefined. Your original answers were 0,0 and undefined... so now I will continue to watch to see the resolution of this conundrum. I get the A+ You get the 2 out of three. Check it out. I believe I am correct and you need to correct your video.
1 to the power of 0 = 1 (as a general rule, anything to the 0 power is by definition equal to 1. 0/1 = 0 1/0 = Undefined. (impossible for zero to be in the denominator).
Sorry but... Any number (including 1) =1. 0 divided by any number is indeed, 0. Any number divided by 0 would theoretically = infinity, therefore, is considered "undefined". If you take an 8-digit calculator, divide 1 by 0.0000001, the answer will be 10,000,000. If you don't insert a digit, that number becomes infinity, making it impossible to display on any size calculator.
If you study Electrical engineering and come across 1/0 when studying circuits You might consider the answer = infinity, or an open circuit. My experience came from a test, all but one in the class said undefined and were wrong.
Context is everything. Mathematically 1/0 is undefined. the limit of 1/x as x tends to 0 is infinity. In practical terms at some point it FUNCTIONALLY becomes an infinite resistance for example because you have to accept some level of precision in practical applications.
? My big complaint with Mathematics is that not emphasized in non math class. By far the vast majority will never use Mathematics as taught in math class, but will use Mathematics as a language within many professions/jobs. Thus, Mathematics should be linked to jods/professions/disciplines. So, math teachers should be included in job/vocational/professional classes, ie. math teachers included in ceramics, auto shop, art classes, and include in thier math classes the application. Your thoughts
I'll tell you what I think and then watch your video .. 1) 1 to the power 0 = 1 because anything to the power 0 is 1 2) 0 divided by 1 = O because 0 divided ny anything is 0 3) 1 divided by 0 = 1 because dividing by 0 is actually doing nothing
@TableClassMath: 1to the power of 0 does not equal 0 it equal 1. And this is the proof. 1to the power of 3 is break down like this 1x1x1=1 and then 1to the power of 2 is this 1x1=1, then 1 to the power of 1, it is just 1 all by itself. then we have 1 to the power of 0 so that equal 1/1=1 Edit: At the start you said that 1 to the power of 0 equal 0 is correct which is not, but you correct yourself while explaining it, which can confused people that are new in math. I'm not new in math.
OK, I got 1, 0 and nothing can be divided by 0, and you came up with 0, 0, Und in your initial answer. When going through your analysis, you came up with my answer changing your first answer from 0 to 1. Here’s one for you, what is e to the (pi * i) power?
First, please correct your big goof. 1^0=1, not 0. Second, consider that as the denominator approaches zero, the result increases without limit. It's been a while (decades) since I studied transfinite numbers, but I seem to recall that it would be expressed as aleph-null (the sum of the set of all real numbers). Or not.... it's really been a long time...
This video is wrong as stated below, and contradicts itself. Any number to the power of zero is 1, yet the answer is stated twice as 0. ,first as 0 then as one and then finally as 0 again. Rare mistake and it looks as though does not monitor any comments.
1, 0, Undefined. Any number can be expressed as 1n/m. Where n and can equal any number except 0 when raised to the power of zero and m cannot equal zero. So, n to the zero power may remove n, but the numerator must retain a value. This is just my understanding as to why the value 1 remains in the numerator.
I disagree with the 3rd answer. One divided by nothing I think would be One. You have a whole "one" and you do not divide with anything, you still have "one" Is math different than logic?
1, 0, Undefined. Worth noting that dividing zero may be 0 but the term is indeterminate. Any number in the denominator will result in 0, so there is no determinate answer.
At first you say 1^0 = 0, later in the video you tell the correct answer that 1^0 = 1. Any number to the power of zero is 1. You need to watch your videos again before placing them on youtube.
1°=1 (any value {even 0} to the zero degree equals 1), 0÷1=0 (1 goes into 0 zero times) 1÷0=undefined but normally accepted as 0 in lower levels of math.
I thought I had 3 right but you convinced me I had the first one wrong. I couldn't for the life of me figure out what I had done wrong. If that was a joke, it was not funny.
Never heard of und until now. A baker brings a pie-1 cut into 4 pieces and -/- 0 nobody takes a piece he has 1 pie its not und. thats how I learnd it in school. 1-/- 0 = 1
wait, this is kinda why I would quit math. I thought 1 to no power of itself would be 1, but you said it's zero, then you said it's 1. yeesh, reminds me of that time I worked with a tutor :)
Erm...any non-zero number to the power of zero equals 1 [I don't really understand why, but it's a basic Maths truism!]. I think you are incorrect here in your first example.
You should edit this video. You made a mistake at the beginning when you gave the solution. 1 to the zero power is 1 as you explained afterwards. You got me confused for a second there. :(
This is not mathematically sound logic, and generally the wrong answer. The term placeholder should not be thrown around like some sort of proof here. Yes, zero is a format placeholder but your claim "a placeholder raised to the power Zero is undefined" is not a mathematically proven attribute of a placeholder. In most situations, 0^0 is going to equal 1.
For the first time, I gave you a "thumbs down" for this simply because you made an obvious error at the opening of the video. You redeemed yourself in the body, but why haven't you fixed it after so many have pointed it out to you? I still enjoy watching your videos, but you should understand that an obvious mistake like that makes it confusing for those of us who don't always know the higher math you show in your videos. It makes us wonder if you made mistakes in those, too.
I think you need to redo this video. 1 to the power of 0 is 1. In your answer (before you explained it), you incorrectly said that it is equal to 0. Then in your explanation you contradicted your answer and said it is equal to 1. So both answers cannot be correct, and one is in fact incorrect.
I'm confused with this video also. 1 to the 0 power can not be 0 and 1.
When the answers were given for 1 to 0 power, I said to myself that’s not right, but then it was corrected later. Agree it is confusing.
Exactly. Big goof there!
Yes, I was going to say the same thing. So, is the correction, correct? Anything to the power of 0 is 1?
@@davidwelburnYes. *Any* number to ⁰ will always be 1.
1) =1
2) =0
3) unindetifieble expression
I got that too.
1) 1
2) 0
3) infinity
That’s how I was taught.
@@helenmak5663
In fact, you are right, but, because dividing real number by the zero is forbidden, it is the way it is...
@@helenmak5663 Infinity would be the best possible solution if we had to give one, BUT, it's a cheat, because "infinity" isn't a number. So it's not a valid answer, arithmetically speaking. It's more of a philosophical way of looking at it.
The only correct unswer, I donno where did he get the result '0'
There is an inconsistency in the solution given for 1 raised to power 0.
The 1st answer given before showing the explanation is 0, which is inconsistent with the actual answer of 1
Professor gets a 😳 face.
All positive numbers to the zero power is 1. (I'm not sure about negative numbers, I THINK -1 to the zero power is 1 but I wouldn't put any money on that)
@@laurendoe168 Every number to the 0 power is 1. The proof involves multiplication/division rules with exponents. (Please note the '^' is used to denote exponent.)
Multiplication:
(x^a) * (x^b) = x^(a+b)
Division:
(x^a) / (x^b) = x^(a-b)
So if we use division and the constant a is equal to b, then a - b = 0.
x^a / x^b = x^0
Any number divided by itself is 1, and x^0 will always be 1. For 0 this gets a little bit more complicated but 0^0 is still basically 1.
@@Antelope2000 I love your logical explanation!
My biggest takeaway from this lesson is that the comments are not monitored. Still, this is an excellent resource for anyone wanting help in mastering mathematics
It’s not really is it. He’s given the wrong answer to 1 to the power zero!!
I was never good at math. I was good at everything else, but not math. Algebra was the real killer. Years later it burns me to realise that not one of the ‘teachers’ that were inflicted on me never explained the order of operations. Not once. Whose failure was it?
I never gave it any thought but I only learned about PEMDAS on this channel a couple of weeks ago and at age 67. I knew about doing calculations in Parentheses and Brackets first but that was about it ;-)
Yikes
Didn’t even need to press play before writing this.
*Problem #1.:* I learned in math class that ANY number to the ⁰ is 1.
*Problem #2.:* 0÷1=0. If you have nothing, it doesn’t matter how much you divide by, it will always be 0.
*Problem #3.:* This is not possible to have an answer for, and why calculators return an “E” (ERROR) when you atrempt this on one. Allow me briefly to explain. You see, you’re taking a quantity of something, in this case 1. It could even be 0 or a negative quantity; that doesn’t matter. What DOES matter is when you put that divide sign in between the quantity, and what you divide by, if you put 0 on the other side, the reason it doesn’t work is because you’re not giving anything for the quantity to be divided by. If the question/problem was 1÷1 for example, you’d be able to reach an answer: 1. But you simply cannot divide by 0, because again, that, more simply put, is not dividing at all.
We were taught the same about any number divided by zero was undefined, however we were also taught that zero divided by zero is "Indeterminate". In there words the answer could be 0, or 1 or 2 or 3 etc. The math teachers' reasoning that by multiplying the answer (0 or , 1 or 2, etc). by the deliminator (zero) always worked out to be the numerator (zero). Zero times 1 is zero, zero times 2 is zero, etc. So in a sense the answer was Indeterminate.
I agree with another comment. Why do you first state that 1 to the zero equals zero then later change the answer to one????
time stamp 1:56 1 to the zero = 0
time stamp 4:30 1 to the zero = 1
because he was being careless. The answer is 1.
I think this is a more accurate description of 1/0,
lim x -> 0, f(x) 1/x = ∞
It approaches the limit of infinity. It is not equal to infinity.
Not the calculus! 😬
Is undefined the same as infinite because when the denominator trends towards zero the answer becomes larger and larger until it becomes infinite i.e. which I assume in mathematical terms is undefined.
Infinite, that's how we learned it too
@@poetjenoetje If you're talking in terms a an arithmetically correct answer, then you were taught wrong. "Infinity" isn't a number. As I said above, that's more of a philosophical way of looking at it. Or as someone else put it in the comment immediately above, it's better thought of as a limit in calculus. But for arithmetic purposes, there's no number you can point to and say "That is the number you get when you divide by zero".
The limit is NOT the same as an absolute equals.
John, check your video at the 1:57 mark. 0, 0, undefined?
FIX your video! x ^ 0 = 1 when x 0.
I see comments on this already. First you said 1 to zero power was o. Then in explanation 1 to zero power is 1. In fact you show everything to zero power is 1. What part of your explanation is the correct answer. 0 or 1
A. 1
B. 0
C. Undefined in some circles, infinite in some circles.
the other way to explain it is you can't add any amount of 0s to equal a Positive or Negative integer. thus any Positive or negative Integer divided by 0 is undefined (not possible) . and there is the unique case of 0 devided by 0 is any number you want to say it is.
1, 0, undefined?
At 2::13 you give 1 to the 0 power as 0 At 4:04 you give the answer as 1 My original answers were 1, 0, and undefined. Your original answers were 0,0 and undefined... so now I will continue to watch to see the resolution of this conundrum. I get the A+ You get the 2 out of three. Check it out. I believe I am correct and you need to correct your video.
1 to the power of 0 = 1 (as a general rule, anything to the 0 power is by definition equal to 1.
0/1 = 0
1/0 = Undefined. (impossible for zero to be in the denominator).
oops...I just checked the answer. 1 to the 0 power is ZERO. Learned something new today!
Sorry but... Any number (including 1) =1.
0 divided by any number is indeed, 0.
Any number divided by 0 would theoretically = infinity, therefore, is considered "undefined". If you take an 8-digit calculator, divide 1 by 0.0000001, the answer will be 10,000,000. If you don't insert a digit, that number becomes infinity, making it impossible to display on any size calculator.
If you study Electrical engineering and come across 1/0 when studying circuits You might consider the answer = infinity, or an open circuit. My experience came from a test, all but one in the class said undefined and were wrong.
Big Clive
Context is everything. Mathematically 1/0 is undefined. the limit of 1/x as x tends to 0 is infinity. In practical terms at some point it FUNCTIONALLY becomes an infinite resistance for example because you have to accept some level of precision in practical applications.
? My big complaint with Mathematics is that not emphasized in non math class. By far the vast majority will never use Mathematics as taught in math class, but will use Mathematics as a language within many professions/jobs.
Thus, Mathematics should be linked to jods/professions/disciplines. So, math teachers should be included in job/vocational/professional classes, ie. math teachers included in ceramics, auto shop, art classes, and include in thier math classes the application.
Your thoughts
You are correct, it's all about Application.
Very good point. Your way, there may be far fewer people saying'I'm hopeless at maths'
I'll tell you what I think and then watch your video ..
1) 1 to the power 0 = 1 because anything to the power 0 is 1
2) 0 divided by 1 = O because 0 divided ny anything is 0
3) 1 divided by 0 = 1 because dividing by 0 is actually doing nothing
1, 0, and infinity
@TableClassMath: 1to the power of 0 does not equal 0 it equal 1. And this is the proof. 1to the power of 3 is break down like this 1x1x1=1 and then 1to the power of 2 is this 1x1=1, then 1 to the power of 1, it is just 1 all by itself. then we have 1 to the power of 0 so that equal 1/1=1 Edit: At the start you said that 1 to the power of 0 equal 0 is correct which is not, but you correct yourself while explaining it, which can confused people that are new in math. I'm not new in math.
OK, I got 1, 0 and nothing can be divided by 0, and you came up with 0, 0, Und in your initial answer. When going through your analysis, you came up with my answer changing your first answer from 0 to 1. Here’s one for you, what is e to the (pi * i) power?
-1. duh.
At 2:14 you state 1 to zero power is 0 but at 3:54 the answer is 1. Please clarify.
I want to know as well. Please enplane the change from zero to one for 1 to the zero power.
Any number to power zero is 1
@@kevinconiston2270 True but he needs to address his error in the first place at 1:56
@@marknesselhaus4376 👍
Any number to raised to the zero power I thought it was =1.
Any umber to the power of 0 = 1. Zero to the power of any number = 0
First, please correct your big goof. 1^0=1, not 0. Second, consider that as the denominator approaches zero, the result increases without limit. It's been a while (decades) since I studied transfinite numbers, but I seem to recall that it would be expressed as aleph-null (the sum of the set of all real numbers). Or not.... it's really been a long time...
This reminds me of the Young Sheldon episode where he becomes convinced the zero doesn’t exist.
That was my comment. That episode was hilarious 😂
Well-done!
Thank you
1⁰ >>> same number (no exponent)
0/1 >>> there's nothing to share = 0
1/0 >>> nobody to share... Indefinite
This video is wrong as stated below, and contradicts itself. Any number to the power of zero is 1, yet the answer is stated twice as 0. ,first as 0 then as one and then finally as 0 again. Rare mistake and it looks as though does not monitor any comments.
1, 0, Undefined. Any number can be expressed as 1n/m. Where n and can equal any number except 0 when raised to the power of zero and m cannot equal zero. So, n to the zero power may remove n, but the numerator must retain a value. This is just my understanding as to why the value 1 remains in the numerator.
I disagree with the 3rd answer. One divided by nothing I think would be One. You have a whole "one" and you do not divide with anything, you still have "one" Is math different than logic?
Put it in any calculator and you will get a result of “undefined”. Anything divided by 0 is undefined.
Anything to the zero power is 1 is a false statement. 0 to the 0 power is not 1.
1, 0, Undefined. Worth noting that dividing zero may be 0 but the term is indeterminate. Any number in the denominator will result in 0, so there is no determinate answer.
1, 0, und. On the first one, why did you state zero(0) is correct and the explanation is one(1) ?
At first you say 1^0 = 0, later in the video you tell the correct answer that 1^0 = 1. Any number to the power of zero is 1. You need to watch your videos again before placing them on youtube.
Dear Mr. Utubeman,
If 1 to the zero power is 1, what is 1 to the 1 power?
1^1=1
All numbers to the 1 power is itself - even zero.
One. One to any power will always be 1
X^0=1 for any X different to 0, so 1^0 equals 1 (0^0 would be Undefined)
1, 0, undefined
Yeah, John, the answer at 02:00 conflicts with the answer a 03:52; wrong at 02:00, correct at 03:52…
2:23 look at your board ... you got 1 to the power of zero as zero, which is not correct. It should be 1, as you correctly state later in the video.
ans 1, indeterminate, infinity
1; 0; Infinity
#3 infinity
1°=1 (any value {even 0} to the zero degree equals 1), 0÷1=0 (1 goes into 0 zero times) 1÷0=undefined but normally accepted as 0 in lower levels of math.
I thought I had 3 right but you convinced me I had the first one wrong. I couldn't for the life of me figure out what I had done wrong. If that was a joke, it was not funny.
I thought any number raised to 0 is 1?
Never heard of und until now. A baker brings a pie-1 cut into 4 pieces and -/- 0 nobody takes a piece he has 1 pie its not und. thats how I learnd it in school. 1-/- 0 = 1
(1^0=0) (0÷1)=0 (1÷0)=0
Not making sense, you gave 2 different answers for 1° first you said it was 0cthen you said it was was 1 in your explanation
I learned as an ingeneer that 1/0 = infinity
It looks like a whole bunch were paying attention and caught the goof in the first answer.
If you can’t devide 1 it’s 1 and not UND. If you devide with 0 you’re doing nothing.
The answer is “undefined”. Try it in any calculator.
@@petersearls4443 programmer’s mistake
wait, this is kinda why I would quit math. I thought 1 to no power of itself would be 1, but you said it's zero, then you said it's 1. yeesh, reminds me of that time I worked with a tutor :)
-/- means divide.
Infinity
did my eyes play tricks? At 1 min 58 secs the first answer is ZERO but then at 4 min 29 secs the answer is now ONE Must be that new math LOL
1,0, infinity
Isn't 1 to the zero power 1?
x / 0 is undefined because any number times 0 is 0 (not x).
1 to the 0 power is 1. So what is going on here.
Seems like one to the 1power would ALSO be one. How can 1 to the zero power be the same?
The answer to all 3 equals 0.
Erm...any non-zero number to the power of zero equals 1 [I don't really understand why, but it's a basic Maths truism!]. I think you are incorrect here in your first example.
Zero is not nothing.
The Big Bang, when God divides by Zero..lol
The first is1 2nd 0 3 no soltion😊
You should edit this video. You made a mistake at the beginning when you gave the solution. 1 to the zero power is 1 as you explained afterwards.
You got me confused for a second there. :(
1,0,undefined(not possible)
im pretty sure theyre all zero
1, 0, 0
so 1 0 and no no actually got it right....
Zero is a placeholder, so a placeholder raised to the power of Zero is undefined.
This is not mathematically sound logic, and generally the wrong answer. The term placeholder should not be thrown around like some sort of proof here. Yes, zero is a format placeholder but your claim "a placeholder raised to the power Zero is undefined" is not a mathematically proven attribute of a placeholder. In most situations, 0^0 is going to equal 1.
Looked it up… yep… any number to zero is 1
Yeah calculator doesn't lie 1 to zero power equals 1
not even modern quantum mechanics tolerates infinities, so why should math's tools. So, we just ignore it's presents.
You will fail, strange that a math teacher doesn't know that all numbers except 0 (zero) with exponent 0 (zero) will be 1
It’s official, @tabletclass math does not read comments. 🤣
0 is not a number, it dosent exist , Little Sheldon 😂😂😂🤯
1, 0, 1
My answer is , zero to all
1 to the 0 power is one, u r contradicting urself bcuz u put your answer to be one
I thought 1 to zero is 1… 🤔
Fix your video.
1, 0, no answer
1 0 0
For the first time, I gave you a "thumbs down" for this simply because you made an obvious error at the opening of the video. You redeemed yourself in the body, but why haven't you fixed it after so many have pointed it out to you? I still enjoy watching your videos, but you should understand that an obvious mistake like that makes it confusing for those of us who don't always know the higher math you show in your videos. It makes us wonder if you made mistakes in those, too.
0
"Mr. UA-cam-Mathman" redeemed himself with the "0÷4" explanation!! LMAO😂😂😂
5:16-5:36
Sorry, but this channel just lost all credibility. 1^0 = 1, not 0.
First is 1, second is 0 , third is imaginary