I love mathematics but I have no idea what my teacher is saying, so i use UA-cam to learn the things I don't know, and your video's are very helpful ^^
Hey, hey. You commented in it 5 years ago. How did you know about COVID-19.😱(maybe you're talking about something else🤗) Are you talking about something eles, I mean- saving some other time's lives🤔😶.
Bc they want to make the lesson look hard even tho in reality, it's not XD It's long bc... idk... maybe bc they give like a billion examples XD. And they also ask students. That's y it takes 45 mins to an hour
@@elh._.07 Plus clearing doubts of students and not reading an already scripted/prepared dialogue as the guy does in the video which makes it harder for them to teach as they have to come up with things to say at the moment. Also, the teachers have been working for hours before the class too, which makes them tired and teach not as efficiently.
That is what I was wondering. Guess it's like when I was in school (years and years ago, I know, I'm old) the teachers would always have me do problems in at least twice the amount of steps that seemed logical in my head. Sometimes a problem they did in 10 steps I did in about 3 or 4. The extra steps confused the heck outta me!
Because of the Identity Property. Remember that anything you multiply by 1 is still the number you multiplied to it. That is why you add the 1 at the start.
I’m having a real hard time in maths at school, I don’t understand what’s written in the textbooks or what has been explained by the teacher but somehow khan academy made me understand in under 10 minutes.
funny. usually in those math books, they show you how to do it, then give you an example with something 10x harder than it originally was. it’s like school. they show you something, then tell you to do something way more complicated then it. Here’s an example: “okay so 1+1 = 2, please do this problem” The problem: *6n+3837snwi+383628+22828-nyxyxy38727*
I'm 7th grader from India. my Maths teacher just wanna show her communication skills. Not getting anything of her till 5 days but this 7 minutes video helped me a lot. Thanks #KhanAcademy
Thanks! My math teacher doesn’t help me so much and khan academy is so helpful, I check it every time I learn something new. I used to have a 20% average in math and now I have an a in math!
Thanks just reteaching myself since being out of school way longer than I went and never thought or was taught to put the one in front making it easier to remember for the negative exponents
Yeah this was super helpful. I'm taking extra online classes this summer . And their lesson plan makes no sense so I go here on a regular basis . Thank you :3
HAHA - I guess bad education is a Universal Problem. Thank you so much dear Sal for everything you and your team has done for offering easy access to conceptual learning for free to anyone in the world!!!
Thanks so much. I’m attempting to learn about exponents in the extra-curricular math that I’m doing and the lesson just threw the negative exponents in there and I had a hard time understanding. Thank you so much this really helped.
Thanks!This helped me alot, since I don't learn American Learning, so they didn't teach this in P.5.I do know exponents by myself but not negative exponents!
5:43 the result is 1/-8 or because the "-2^3" uses a power that is odd. That is to say that if it was written 4 instead of 3, namely: (-2)^-4, then we would have Start (-2)^-4 We remove then the negative power by just sending everything under the fractionary line, resulting in: 1/(-2)^4 Since the power of 4 is even, the result will be positive: (four minuses) 1/2^4 Then we simply further 1/16 Thus: (-2)^3 = 1/-8 (-2)^-4 = 1/16 I'm just adding this because he mentioned to ignore the minus-times-minus mechanics from earlier which is sort of misleading.
there is another way to do this too. lets say we have 4 to the negative fourth ok? 4*4*4*4=256 all we need to do is put the over one on top so we have 1/256 and we have the same answer as if we'd done what he just did.
Thanks Khan, I had trouble explaining this concept to my sister. Kinda hard if you been taking upper division math as a college student trying to teach it to a middle student. Thanks.
With negative exponents, it's all about applying the reciprocal of the exponent. In the case of fractions, it's all about applying the reciprocal of the exponent AND the fraction.
...how? I'm in 8th grade taking math 1. And this is what we are learning. How are you doing this in 6th grade? Do you go to a private school or something!?
He said that multiplying by 1/2 is the same as dividing by 2.For example if you do the problem 4 x 1/2 on a calculator or if you just search it up on Google, it will equal to 2.Which is the same as dividing the 4 by 2.
Okay so we’re going over this in algebra 1 (my freshman year) and you just explained this in a way I never thought about. I don’t usually expand like you did in the beginning, but that makes me question since technically couldn’t you do -4•-4 = 16 right but doesn’t that mean all negatives multiplied by itself equals a fraction 😳
To the people that are having trouble think like this. For 2^-4=1/2/2/2/2 which would give you 0.0625 which is the same as 1/16. Remember when dividing factions you use a reciprocal of the fraction. So for 2^-4 = 1*1/2*1/2*1/2*1/2
Kashyap Patel yeh but in actual person form it’s, you make it a fraction and then flip it and then you keep the little number and then you can simplify the bottom part of the fraction
The American school system would collapse without this man
Indian too bro
@@abhijeetsingh6672 and the East Asian education system
The entire world would collapse and world war 3 would start
My teacher just straight on sent me here
First honest teacher ever
well, I am actually having fun with math after about 6 years of hating and running from math. All thanks to this guy. You are a legend Sal
I love mathematics but I have no idea what my teacher is saying, so i use UA-cam to learn the things I don't know, and your video's are very helpful ^^
That's the way to go, you'll have fun at school.
Good for you
wow this seven minute video teaches me better then the 7 years ive been in school
FR
@@evanmardas417 same
After countless videos and explanations, this is the first one to mention "dividing" and it makes so much more sense.
Respect to the life saver
Willy Figueroa hi it has been 5 years omg. I dont know you but, u commented on this vidro 5 years ago
@@lullaby9355, Yeah, you are right😵
Hey, hey. You commented in it 5 years ago. How did you know about COVID-19.😱(maybe you're talking about something else🤗)
Are you talking about something eles, I mean- saving some other time's lives🤔😶.
@@eoneom he means he probs had a test or exam an it saved his life
@@rajasekharanarunthampi7885 ok,,,,that's clear to me now😅
How do teachers spend 45 minutes to an hour teaching this when you can do it in 7 minutes
he is a god
Bc they want to make the lesson look hard even tho in reality, it's not XD
It's long bc... idk... maybe bc they give like a billion examples XD. And they also ask students. That's y it takes 45 mins to an hour
@@elh._.07 Plus clearing doubts of students and not reading an already scripted/prepared dialogue as the guy does in the video which makes it harder for them to teach as they have to come up with things to say at the moment. Also, the teachers have been working for hours before the class too, which makes them tired and teach not as efficiently.
@@xollox3714 😂😂they dont know to young
Why even put the 1 at the beginning?
Idk
facts
That is what I was wondering. Guess it's like when I was in school (years and years ago, I know, I'm old) the teachers would always have me do problems in at least twice the amount of steps that seemed logical in my head. Sometimes a problem they did in 10 steps I did in about 3 or 4. The extra steps confused the heck outta me!
Because of the Identity Property. Remember that anything you multiply by 1 is still the number you multiplied to it. That is why you add the 1 at the start.
Because thats how powers work, otherwise it doesn't make sense. Ever wondered why anything to the power of 0 gives 1?
Thanks, my math teacher can't teach for nothing.
In 9th grade, thx! High school is a b****
Hipsty Hopsty lol I have to do this in 7th grade
***** lol, what curriculum are u in?
Hipsty Hopsty I'm in 8th grade, doing it now.
I'm in 7th doing this
Aidan 15 same
I’m having a real hard time in maths at school, I don’t understand what’s written in the textbooks or what has been explained by the teacher but somehow khan academy made me understand in under 10 minutes.
math makes me cry regularly
Her: tell me something I don’t know.
Him: simplifying negative exponents end up as fractions in reciprocal form.
Her: *confused*
😂🤣lol
funny. usually in those math books, they show you how to do it, then give you an example with something 10x harder than it originally was.
it’s like school.
they show you something, then tell you to do something way more complicated then it. Here’s an example:
“okay so 1+1 = 2, please do this problem”
The problem: *6n+3837snwi+383628+22828-nyxyxy38727*
5:20 Done. I'm confused already.
Tomorrow is my exam
THIS VIDEO HELP ME A LOT♥️♥️
Thanks man! Like usual all the help from the online course that I'm taking right now is nothing compare to your videos! Appreciated it!
I just needed a quick refresher on this, but instead this video explained the concept way better than any teacher has ever done it in the past.
I'm 7th grader from India. my Maths teacher just wanna show her communication skills. Not getting anything of her till 5 days but this 7 minutes video helped me a lot. Thanks #KhanAcademy
3 years have passed, do you like math and what stream do you want to take?
Thanks! My math teacher doesn’t help me so much and khan academy is so helpful, I check it every time I learn something new. I used to have a 20% average in math and now I have an a in math!
Thanks just reteaching myself since being out of school way longer than I went and never thought or was taught to put the one in front making it easier to remember for the negative exponents
The American School System will collapse without this man.
thank you so much, I was somewhat lost and behind my class but now im all caught up
Thanks, I really needed this because my teacher just quit on the class after we didn't understand after she tried to explain it multiple times.
Thank you this helping me to study for my math final
This was really helpful!
That is so simple and makes 100% sense, my teacher just gave told us " gets moved to the other side of the fractiona"
This guy can explain anything to me and I'll understand it. Thank you so much!!!!
Same bro but I'm doubting my self that I didn't get it even if I did 😭
Am I the only person doing this in middle school?
It's not that hard
i am too
good because if not tehn people would be kinda dumb :/
doing it in 6th
***** If you finished calc by middle school why are you on this video?
Thank you, it’s 10:00 at night and I forgot we have a test 😀👍🏻 hehahe
You are so good at math. Thanks to you, I'm now good at math! Thank you so much your the best!!!!
Now just need to work on grammar!
(just kidding)
@@billydiesel8520 LMAOOO
thank the lord for khan academy i'd literally be failing all my classes rn!
this man has helped me out sooooo much
Yeah this was super helpful. I'm taking extra online classes this summer . And their lesson plan makes no sense so I go here on a regular basis . Thank you :3
6:33 on jives with me . Thanks a million!! The reciprocal in parenthesis makes total sense to me.
your the backbone to humanity
Thanks a lot sir
You helped me a lot
Love from india ♥️
You don’t know how long I was stuck on this problem, thank you, thank you so much you kind sir.
This helps a lot.. thanks!
Many many many many many many many thank you!!!!!!!!!!!!!!!!! You helped alot
HAHA - I guess bad education is a Universal Problem. Thank you so much dear Sal for everything you and your team has done for offering easy access to conceptual learning for free to anyone in the world!!!
thank you so much, this helped me out A LOT!
Bro I have a test tomorrow and was so confused and now I understand
Really be doing miracles
Thanks so much. I’m attempting to learn about exponents in the extra-curricular math that I’m doing and the lesson just threw the negative exponents in there and I had a hard time understanding. Thank you so much this really helped.
you can explain stuff so we’ll and you help me I’m in honors but have been struggling because I missed 2 weeks from corona thank you so much
Neat. Now I need the decimal version
Thanks!This helped me alot, since I don't learn American Learning, so they didn't teach this in P.5.I do know exponents by myself but not negative exponents!
THANK YOU THANK YOU THANK YOU SO MUCH!!!!
I am now going to binge these videos and become a GOD at math
thank you mr. math guy for saving my GPA
this video was a lifesaver, thx!
Thank You!!!!
Never thought of dividing by the base nth times in case of negative powers, thanks dude.
My guy, you are a saint! We are doing this in ninth grade and I was pretty sure I was going to fail our upcoming test.
5:43 the result is 1/-8 or because the "-2^3" uses a power that is odd. That is to say that if it was written 4 instead of 3, namely: (-2)^-4, then we would have
Start
(-2)^-4
We remove then the negative power by just sending everything under the fractionary line, resulting in:
1/(-2)^4
Since the power of 4 is even, the result will be positive: (four minuses)
1/2^4
Then we simply further
1/16
Thus:
(-2)^3 = 1/-8
(-2)^-4 = 1/16
I'm just adding this because he mentioned to ignore the minus-times-minus mechanics from earlier which is sort of misleading.
1:07 I thought of it just as you said it as I now from previous stuff that 2^(-2) is the same as 1/(2^(2))
there is another way to do this too. lets say we have 4 to the negative fourth ok? 4*4*4*4=256 all we need to do is put the over one on top so we have 1/256 and we have the same answer as if we'd done what he just did.
Oh wow thank you so much! :D
Wow you are an actual lifesaver
Thanks Khan, I had trouble explaining this concept to my sister. Kinda hard if you been taking upper division math as a college student trying to teach it to a middle student. Thanks.
thank you for that, I kinda did'nt understand my math teacher lesson on 1.7 Algebra 1. I get it now.
thank you for your help!
When his writing with mouse is better than your handwriting
thank you. You really helped do my math homework.
You enlighten me on this topic, but what about when your simplifying and you have a bigger exponent on the bottom over the top?
THANK YOU SO MUCH
"Maybe when we make it negative it means we're going to DIVIDE by" - the simple explanation my math textbook forgot to mention.
This helped alot
With negative exponents, it's all about applying the reciprocal of the exponent. In the case of fractions, it's all about applying the reciprocal of the exponent AND the fraction.
Thank you so much, this video was a lifesaver.
Great video Khan Academy 👍
i cant believe im relying on this guy for my entire education of 2020, blame covid-19 for this
I can guss your age
Step 1:add2 to your age
Step2:substract 2 from your number
hear gussed your age happy
Mst Shaila Surmin so you’re saying I’m negative years old bc I’m 1 month old
Fred Lee that makes no sense you are still one month old. (Or 8 months by now)
Fred Lee noo.. By adding 2 you’d be 2 years and 1 month old. Then you take away 2 years, making you 1 month old again.
how does this have to do with the video
@@thenmhc6210 math
thanks dude this was helpful
Really Helpful, Thanks :)
With much thanks!
In sixth grade, thanks! Though this is the beginner stuff, it’s still kinda hard!
...how? I'm in 8th grade taking math 1. And this is what we are learning. How are you doing this in 6th grade? Do you go to a private school or something!?
Thanks alot
thank u I really know this now
Saves lives
I don't understand this version it's so confusing my teacher taught us a different way but I'm still a little confused but he makes us do it his way.
Yeah thanks..i got it
8th grade maths is hard thanks dude
Helped a lot!!!
Thank you! Your a life saver! 😊
In high school that 2^-4 or any negative exponent you’d move any negative exponent with a decimal in this case it’d be 0.002 or 2/1000 or 1/500
This was so helpful. Thank you so much
Thanks man, this was very helpful.
Incredibly helpful. I won’t bomb this test as hard tomorrow 😂
Thanks a lot 😊😊👍🏻
Thanks helped me a lot on this I now understand it
2^4 is equal to 2x2x2x2
Why is 2^-4 not equal to 2/2/2/2?
Please help...
And why IS 2^-4 equal to 1/2 x 1/2 x 1/2 x 1/2 ?
He said that multiplying by 1/2 is the same as dividing by 2.For example if you do the problem 4 x 1/2 on a calculator or if you just search it up on Google, it will equal to 2.Which is the same as dividing the 4 by 2.
Thnak you guy
Okay so we’re going over this in algebra 1 (my freshman year) and you just explained this in a way I never thought about. I don’t usually expand like you did in the beginning, but that makes me question since technically couldn’t you do -4•-4 = 16 right but doesn’t that mean all negatives multiplied by itself equals a fraction 😳
Thanks! This really helped me! I also like going on your site to computer program! I think it is fun!
To the people that are having trouble think like this. For 2^-4=1/2/2/2/2 which would give you 0.0625 which is the same as 1/16. Remember when dividing factions you use a reciprocal of the fraction. So for 2^-4 = 1*1/2*1/2*1/2*1/2
personally the why I showed it made sense to me
a reciprocal is represented as 1/x. x not equal to zero
How does this relate to reciprocal
Thats why anything to the power of 0 gives 1 also
Scuffyflow it means looping the recipical by a half or 1/
I’m watching this the night before my finals after this was covered 2 months ago
Thanks super helpful
So basically when u do negative exponenets u find the reciprocal of the base and use the positive exponent
correct argument
Kashyap Patel yeh but in actual person form it’s, you make it a fraction and then flip it and then you keep the little number and then you can simplify the bottom part of the fraction
Thanks
I think I have feelings for this dude
Salute