I am a 60 year old math nerd with a High Schooler. Both of us have been watching your videos to keep our math skills sharp. Thanks for doing what you do!
For this exercise, i got the right result mentally even though i solved it a little differently. I remembered the rule about negative and positive… but i wasn’t sure how to apply it. So i applied my own way… maybe is wrong what i did, but i got 4 as a result.
Hi Jebbie Kanfer 8843 Just like other parts of the body, your mental ability changes over time. That is because the neurons in the brain either improve or degenerate as you grow older. That is all there is to it. There's nothing to worry about. Accept things as they happen.
I understand that we're taught that a negative power flips it to th denominator and vice versa but, that description seems to leave out steps in the process without ever learning the steps that lead to the conclusion when the negative power is in the denominator. 1/x^-y = 1/(1/x^y) = x^y. It seems like I missed a step between the 2nd and 3rd steps but I'm unsure how to write it properly if don't use numbers in place of the variables. 1/2^-2 = 1/(1/4) = 1/.25 = 4. Useful shortcut that we take for granted just like similar to useful formulas we don't usually derive on our own out of convenience or time constraints until maybe much higher maths. Apologies for the paragraph.
Yeahhhhh! Your teachings are producing results Mr YT Math. 2 to the negative 2 = 1/2 to the power 2. The rest is easy. :) Last week I would have failed but I learned the rule in one of your videos and "voilà". Thanks!
So long since I've done any maths but genera arithmetic. You remind and teach well. Thanks. But, what when you have a -ve exponent above and a +ve exponent below or vice versa? I get the solution of two -ve exponents, but I'll guess with mixed exponents, say: 3^-2 / 4^3 => ( [ (3^2) * (4^3) ] / 1) = 9 * 16 = 144 ?
Remembering the rule is great, but if I know how the rule is proven that’s even better. I tutor math and I tell my students over and over again that if you multiply “something” by 1 you haven’t changed its value (the Identity Principal). So, if I multiply 1 / 2^-2 by 1 then I still have the same value. Therefore, if I multiply 1 / 2^-2 by 2^2 / 2^2 I get 2^2 / (2^-2) (2^2). I add the exponents of the divisors since the base is the same and then get 2^2 / 2^0. Any number to the zero power is 1. So, then I have 2^2 / 1 or 2^2 = 4. Note: any number divided by itself is 1, so 2^2 / 2^2 = 1
At the title card, and if I remember correctly, the answer is a) 4. 2^2 wiykd or course be 4, but 2^-2 would be the inverse of that, or 1/4. And then 1 / 1/4 would be the same as 1 * 4 = 4.
Thanks for giving a detailed explanation that if you get wrong answers on a test your score will be lower. I don't think any of us here would have guessed that.
An intuitive approach ... Negative powers of positive numbers are not negative numbers. They are, in all cases, positive numbers less than 1. Therefore the the answer must be a positive number greater than 1. The only choice is 4. I'd recommend learning the right way to do this though.
Wish I had you as a math teacher 50 years ago. My biggest problem with math is relating it to anything. Is there an example of where I would use this in the real world?
Could you please make a video to explain the rule when we have addition or substraction of numbers with exponents? Ex: What is the rule when we have: a to the power m MINUS (OR PLUS) a to the power n. Thank you in advance.
It’s nice to know the rules, but it looks to me like a trick that I have to remember but I can’t reason it. I want to rationalize the problem so I know why it works. And can duplicate it by reasoning and not by remembering the rule. I hope this makes sense to you.
It is not going to be negative so b and d are ruled out looking at it Answer is 4 I reason that out This problem is Extremely easy I recommend doing problems like this on tests I just wrote the answer down and didn’t show my work …Teachers hate that Lol That was Why I did it They wanted you to show each and every step I would combine steps Funny when I tutor In Pre-Algebra and Algebra I make my kids ( students) show every step.
Its 1/1/4 = 4 , cause 2^-2 = 1/2^2 = 1/4 , so 1/1/4 = 4/1 = 4 , If 1/1/4 and not 1/1/4/1 1/1× 1/4 = 1/4 , forgot the rule for a/a/b , its b/a , na 4 will be answer 🎉
Some of you are getting these too quickly. Remember to make it as complicated as possible so that you UNDERSTAND how it works. You know, like that Common Core stuff we totally needed to put an end to all the success we were having doing it the other way for generations. :)
Hmmm. 2 to minus 2 power = 1 / 2 squared or 1/4. Now what is 1 divided by 1/4? Well, how many times will 1/4 go into 1? I think 4 times. So the answer is 4. Thank You for these nice Brain Flexers.
I am a mathematical idiot : I have forgotten how to do differential calculus and integral calculus. I still have problems doing simple math in my head.😢
So what is the correct solution? You solved 3^-2 not 1 / 2^-2 ! How did you get your answer? What is the correct answer ? You do this often ! PLEASE SOLVE THE QUESTION AT HAND !
Sorry, but it would be just as easy to simply explain the operations with the actual numbers rather than always converting than to unknowns, especially when the figures in the problem are simple, like "2". The viewer will learn just as much if you just give the rules and solve the problem step by step rather than giving other examples that are no more obvious than the problem itself!,
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
As someone who has stunk at math all his life, you make this so interesting and understandable. Thanks!!!
4. The 2^-2 is the equivalent of 1/4. 1 divided by 1/4 is 4.
4
I am a 60 year old math nerd with a High Schooler. Both of us have been watching your videos to keep our math skills sharp. Thanks for doing what you do!
Believe it or not I did very well in math in HS and college. I got very high SAT and ACT scores it’s been over forty years. I’m an idiot now
That is funny… i was the worst math student when i was young, now at 62, i understand practically everything someone explains.
For this exercise, i got the right result mentally even though i solved it a little differently. I remembered the rule about negative and positive… but i wasn’t sure how to apply it. So i applied my own way… maybe is wrong what i did, but i got 4 as a result.
I wouldn’t say that, you went to college lol
Hi Jebbie Kanfer 8843
Just like other parts of the body, your mental ability changes over time.
That is because the neurons in the brain either improve or degenerate as you grow older.
That is all there is to it.
There's nothing to worry about.
Accept things as they happen.
I can relate. However don't beat yourself up. Remember if you don't use it, you lose it.
You can also say: 1/2^- 2 = 1 : 1/4 = 4/1 x 1/1 = 4.
This is “math for dummies” and I appreciate it….🤓🤓
Me too
Me 3
Same here
I understand that we're taught that a negative power flips it to th denominator and vice versa but, that description seems to leave out steps in the process without ever learning the steps that lead to the conclusion when the negative power is in the denominator. 1/x^-y = 1/(1/x^y) = x^y. It seems like I missed a step between the 2nd and 3rd steps but I'm unsure how to write it properly if don't use numbers in place of the variables. 1/2^-2 = 1/(1/4) = 1/.25 = 4. Useful shortcut that we take for granted just like similar to useful formulas we don't usually derive on our own out of convenience or time constraints until maybe much higher maths. Apologies for the paragraph.
Nicely done. Thank you. A refresher
Yeahhhhh! Your teachings are producing results Mr YT Math. 2 to the negative 2 = 1/2 to the power 2. The rest is easy. :)
Last week I would have failed but I learned the rule in one of your videos and "voilà".
Thanks!
You are a wonderful teacher. Thanks
So long since I've done any maths but genera arithmetic. You remind and teach well. Thanks.
But, what when you have a -ve exponent above and a +ve exponent below or vice versa?
I get the solution of two -ve exponents, but I'll guess with mixed exponents, say:
3^-2 / 4^3 => ( [ (3^2) * (4^3) ] / 1) = 9 * 16 = 144 ?
Yes! Took about 3 seconds.
Thank you good teacher....
Too much rambling on
Remembering the rule is great, but if I know how the rule is proven that’s even better. I tutor math and I tell my students over and over again that if you multiply “something” by 1 you haven’t changed its value (the Identity Principal). So, if I multiply 1 / 2^-2 by 1 then I still have the same value. Therefore, if I multiply 1 / 2^-2 by 2^2 / 2^2 I get 2^2 / (2^-2) (2^2). I add the exponents of the divisors since the base is the same and then get 2^2 / 2^0. Any number to the zero power is 1. So, then I have 2^2 / 1 or 2^2 = 4. Note: any number divided by itself is 1, so 2^2 / 2^2 = 1
At the title card, and if I remember correctly, the answer is a) 4.
2^2 wiykd or course be 4, but 2^-2 would be the inverse of that, or 1/4.
And then 1 / 1/4 would be the same as 1 * 4 = 4.
Thank you
A negative exponent means to take the reciprocal of the base raised to the positive exponent.
So 1/2^2 is 1/4 and 1/1/4 is 4
Thanks for giving a detailed explanation that if you get wrong answers on a test your score will be lower. I don't think any of us here would have guessed that.
Awesome thanks 👍💪👋😁😎❤️
An intuitive approach ... Negative powers of positive numbers are not negative numbers. They are, in all cases, positive numbers less than 1. Therefore the the answer must be a positive number greater than 1. The only choice is 4. I'd recommend learning the right way to do this though.
Wish I had you as a math teacher 50 years ago. My biggest problem with math is relating it to anything. Is there an example of where I would use this in the real world?
Could you please make a video to explain the rule when we have addition or substraction of numbers with exponents?
Ex: What is the rule when we have: a to the power m MINUS (OR PLUS) a to the power n.
Thank you in advance.
What is the logic that turns a negative exponent in a fraction???
Simple: 1 x 2² = 4 so answer A
Why doesn't the base number change signs when it moves to the opposite side of the fraction?
A) 4
64 and I had to really think for a moment....but once I got over the initial panic, it came to me pretty quickly. Surprise, surprise!!
I like maths after 55 years,how easy it was 😌.
1/(2)^-2=2^2=4
4 is the answer. worked out as below.
Why does flip flopping the fraction get rid of the exponent? I don’t get it.
What if "x" numerator's exponent is negative and 'y" denominator's exponent is positive?
4 because 1 divided by four parts (0.25) can only give 4.
It’s nice to know the rules, but it looks to me like a trick that I have to remember but I can’t reason it. I want to rationalize the problem so I know why it works. And can duplicate it by reasoning and not by remembering the rule. I hope this makes sense to you.
Why waste time reasoning it out every time? - counterproductive. Easier to remember the rules.
Sad, if you cannot recall simple rules like this.
1/1 / 1/2^2
1/1*2^2/1
4
a) =4.. I hope
d). -1/4.
2^-2 = 1/2² = 1/4
1÷¼ = 4
Answer = 4
I have not done fractions in very long time. Their was that minus symbol. I thought -1/4. Then I started thinking to much. Then you circled it.
2^-2 = 0.25, 1/0.25 = 4
got it 4 neg exp brimgs a fraction 1/{1/4) = 4 thanks for the fun.
When you teach classes do you repeat the same thing every day?
C1/4 1/2-2=1/4
It is not going to be negative so b and d are ruled out looking at it Answer is 4 I reason that out This problem is Extremely easy I recommend doing problems like this on tests I just wrote the answer down and didn’t show my work …Teachers hate that Lol That was Why I did it They wanted you to show each and every step I would combine steps Funny when I tutor
In Pre-Algebra and Algebra I make my kids ( students) show every step.
a
1x 2^2= 1x4=4
1/2^-2 = 1/1/2² = 2² = 4
Negative denominator, flip it.. flip it my professor said 😂
a. 4
If I remember correctly 2^2 = 4 but 2^-2 = 1/4
So we have 1/(1/4) which is 4
I took a flyer on that because I remembered something about neg to pos. Think I got it wrong
A. 4
I got 4.. 2+2
Its 1/1/4 = 4 , cause 2^-2 = 1/2^2 = 1/4 , so 1/1/4 = 4/1 = 4 ,
If 1/1/4 and not 1/1/4/1
1/1× 1/4 = 1/4 , forgot the rule for a/a/b , its b/a , na 4 will be answer 🎉
4.
a^(-2) = 1/(a^2), therefore the answer is 4.
Some of you are getting these too quickly. Remember to make it as complicated as possible so that you UNDERSTAND how it works. You know, like that Common Core stuff we totally needed to put an end to all the success we were having doing it the other way for generations. :)
Hmmm. 2 to minus 2 power = 1 / 2 squared or 1/4. Now what is 1 divided by 1/4? Well, how many times will 1/4 go into 1? I think 4 times. So the answer is 4. Thank You for these nice Brain Flexers.
The answer is 4.
1÷ 1/(1/2^2) = 1×(2^2/1)=4
a) 4
I t is 2 power 2=4 So answer is (a)
Answer:
a) 4
I am a mathematical idiot : I have forgotten how to do differential calculus and integral calculus. I still have problems doing simple math in my head.😢
Shalom John,
The answer is 9
4 is the answer
I realize just how little Algebra effects my life.
What do you do for a living?
Correct answer is 4
I think the answer is D
So what is the correct solution? You solved 3^-2 not 1 / 2^-2 ! How did you get your answer? What is the correct answer ? You do this often ! PLEASE SOLVE THE QUESTION AT HAND !
A is answer
This could have easily been explained in about 3 minutes with direct and simple examples.
Or you can watch the whole 15 minute classroom style explanation
I was lost, but now I'm found.
d
You can get me on math but not on medicine
4
D
a
A
a)
'Promosm'
Your explanations are confusing for me. They seem to go off track just enough I miss the point. I must be stupid. Good to know that know.
Stop rambling and just get to the point
Another failure for me
Sorry, but it would be just as easy to simply explain the operations with the actual numbers rather than always converting than to unknowns, especially when the figures in the problem are simple, like "2". The viewer will learn just as much if you just give the rules and solve the problem step by step rather than giving other examples that are no more obvious than the problem itself!,
Wonder why you are not the one teaching the course, since you think you know more than the instructor. Preposterous!
I enjoy your problems but wish your explanations could be a bit more pithy.
Because they talk too much.
1/4 the answer
(C) 1/4
Darn I forgot to divide. Lol😂
1/4
You are very confusing. Too much double talk. How did you become a math teacherm
Way WAY too much talking about nothing and delaying. 2:40 seconds into the video and he hasn’t explained anything yet.
That's true but I think it's sticking for me
Just get to the point!!. Stop rattling on!!
It's a 15 minute classroom style explanation.
a)4
4
1/4
A
a)
a) 4
4
1/4
4