Level 1 Exponents

[beyluv2]

Khan>>>>> every teacher I ever had.

[SuperJV4x]

the irony of the khan videos - they are so clear, yet... if you did a word count of every single khan video, the most frequently used word by far is "confused"

[msyangmath]

Great videos but I cringe at the notation @ 8:10: -1^1000 = 1 because that is incorrect. It should be (-1)^1000=1 because -1^1000 = -1!!! That's a big difference!!

[ahmadu007]

"Powers of two are always very interesting. It's specially interesting if you one day go into computer science."

well you are right Sal!(like always!) for I have memorized powers of two up till 65536! Sheesh! And I love computers!

[mantram29]

Your videos are really helpful!!

[jonjonjon1370]

could another explanation for anything to the 0th power be this.

x^n/x^y= x^n-y, therefore x^n/x^n be 1 because any number divided by itself is one right?

[MintWonderlandGirl]

Thanks for the tips, even though im in 5th grade and already know about them. Thanks anyway :)

[lorrainerose2001]

@MintWonderlandGirl im in 5th 2!im in a advanced class so were like doing high school stuff :)

[barracats]

what a brilliant man. thank u.

[izisfat]

CACA PIPI!!! CACAPIPICACAPIPICACAPIPI OYAMON I LIEK DAT CACAPIPI BBY XOXO. CALL MEEE BBY!! oya

[TheGreenArrow100]

I need to learn how to write integer exponents in decimal form,like (-4) to the power of -3 = something in decimal form.like .00001 or something

[DrforkintheLung300]

The like bar looks like a green pencil.

[crystcraw]

Thanks a million...

[Stoyenn]

You are amazing! 

[Dfrtx]

4:45 is true for all bases except when the base is 0. that's the only exception.

[themysticcaveman]

Thank you so much for your videos, they help me so much and you explain everything so well

[girlsr4everr]

how can you dislike this vid???? it tooo goood!!!!!!!!

[lizzeii]

@prence1725 Very much. I don't remember what property or whatever it is but it's saying you do that part first of something like that.

[lizzeii]

My mathbook could never teach me this well... no kidding! :)

[prence1725]

is it important if you put a open and close cotation ( )?

[Dfrtx]

@prence1725 sometimes parentheses are used for emphasis. saying 2 * 3 + 2 is saying exactly the same thing as (2 * 3) + 2, so the parentheses are only there for emphasizing the fact that you do 2 * 3 first and + 2 second.

[paulceltics]

one of the first videos of khan academy!

[XgringoX]

I get English well and all but, if you could make subtittles in other languages, like spanish for example, it would be even better than it already is!!! Explaining this way is great, so you can hopefully take it across cultures!

[me2freaks]

6 people who watched this were drunk and accidentally clicked the dislike button instead of the like button, and then they started freaking out and went in a car and crashed into Target.

[KathrinHart]

You are my hero of the day

[simradhusain]

It Suck

[1extremepower]

I recommend this excellent Math channel: ( Mathmatchpoint ) to everyone who wants to become good at Math. He is going to teach you Math the EASY WAY, from the basic to the advanced topics. The great thing is that his videos are categorized within playlists. It is easy to know which video to watch next. This was the least I could do for him (let others know about his videos). Thanks to him, I got 97% on my Math test.

Go to his channel: Mathmatchpoint

Math is easy thx to this guy

[isop9021]

you have just gained 141 EXP

you are now level 2 :D

[raykasprowicz]

Thank you for a very informative and easy to understand math lesson!

[ponypall888]

thanks for the little blip on why 3 to the zero power is 1!!! it makes sense!!!

[Almerixie]

Watching it for my exam.. :)

[jonjonjon1370]

i find it amazing he chose educating kids over millions of dollars.

this makes a good man

[cnuts83]

Could you explain the differences between these examples, -3^3, (-3)^3, (-3^3), -(3^3). It boggles my mind that the differences between where the parenthesis are placed would change the rules. I don't understand why the sign would be carried along with some and just added automatically depending.

[Dfrtx]

@cnuts83 the order of operations (OOO) is what's important here. remember that exponents are done after parentheses and before multiplication in the OOO. so when we're faced with -3^3, the exponent is calculated first, so 3^3 = 3 * 3 * 3 = 27, and then the negative sign is considered (a negative sign is the same thing as multiplying by -1), so -3^3 = -27. for (-3)^3, parentheses come before exponent in OOO, so (-3) * (-3) * (-3) = - 27.

[EpicXI]

Is there some kind of trick to finding large exponents fast?

for instance, 6 to the 63rd power?

[Ckbuchanan17]

This is alot better and understandable!!!

[paingory]

Hey Khan Wheres the Level 1 Exponent Module?

i want to try it because i am in Algebra 1 Honors and this is my first honors class and i want to pass my EOC for it and im using your videos to help me.

[Ktayr]

Salman,

I truly look up to you for your determination to educate people on math.

I know that you have truly educated me.

With no money being placed in your pocket, you still help students all

over the world with math.

A man who does something good for people and receives no pay is a

good man.

Please continue your good work :)

[ivory3908]

Sal is Genius

[mysonchanz]

I'm going back to school after over 15 years and needed a refresher badly. I must say.........I LOVE YOUR VIDS. Thx champ!!

[Washersing]

Dude your amazing!



[latinfly100]

Thank you

[JrbThe]

thanks for putting up all these videos!!! they help a lot :)

[auraofgloom]

Cool- i'll make my kid watch this,you explain it way better then I do!

[x2Ice2x]

@auraofgloom lazy person. :P

[KaneM0nster]

@x2Ice2x lol

[1sh714q]

y is it stopping on 3:09

[Ktayr]

@1sh714q Yea it does....

[x2Ice2x]

@1sh714q I'm sure there is some scientific explanation for that question but I believe it's simpily your unlucky day (or your internet connection)

[cherrykitten68]

 thanks khan!

[melaniesuniverse]

u guys please subscribe to my youtube plz im begging i only have 2 subscribers plz plz plz!!!!

[x2Ice2x]

@melaniesuniverse neeeevvveeerr... ok fine but you owe me something or other.

[dandiacalbody]

DUDE !!!i love you and the way you teach

taking the GRE in about a week and you just cut my study time almost in half

[IloveCupcakesandTea]

thax 4 this i was studying for cst and u helpd me alooooooot

[iteaire]

education is a powerful thing known for its miraculous healing powers of the self esteem .

[kristyladd]

Awesome

[RavenKL20]

this guy is genious..

[EGMAG]

On a + - graph; applying it to real life situations.

Lets see; if I have not 4 apples I can write it as negative - 4 apples. If I have another not 4 apples or - 4 apples; how is it I don't have - 8 apples; instead mathematically I have plus + 8 apples. How is this, someone please explain?

[Seattle206723]

@EGMAG It more or less applies to square feet. If your a contractor or a fence builder you would use it and other proffesions like that.

[AquaCatClaws]

omg i tried doing the exponents lvl 1 modgule and i couldnt get it and then i watched the vid and i got all of them right .

luv u salman !!!!!!!!!! ur a living miracule !!

[faizan599]

me 2 from pakistan.... i understud each and every thing.....

[assadullahch]

this guy is really awesome. I'm from Pakistan, preparing for GMAT test. I've learnt alot of his videos. He's great... GOD BLESS THIS PERSON AMEEN

[AquaCatClaws]

yup same here !

Ameen !!

mashallah we need more ppl like him in the world :-)

[ahmadu007]

@assadullahch I m also from Pakistan. Preparing for my O Level 9th grade exam! Ameen from me too.

[SteroidsR4success]

Watch his videos, watch all of these videos. And even if you don't understand a specific video just keep watchting it anyways because you will get it. This man will make you smart and is a great source of knowledge. I my self just have been watching every single one of his videos over and over and over... I mean it's great! I fucking love you Sal!

[HourOfGlory]

@SteroidsR4success Yeah I'm going to watch these videos until I hit calculus .

[x2Ice2x]

@HourOfGlory you could just click on khanacademy than click uploads on the far left then on the right type into the search bar 'calculas' instead of watching around 1800+vids until you hit calculas :] but than its your life lol take my advice or leave it

[OmarDelfinity]

@SteroidsR4success I believe if you delve in in anything, you get better at it, so thanks Salman Khan for exposing this to us. :)

[supaballad]

At 1:30 I think you meant to say there is the temptation to add. You messed up. Nice video though. I learned a lot!

[hamstrings52]

exponents in your ass

[001chatlos001]

yayyyyyy!! i get it now...

[TruePlayed]

-1^1000 = 1? or -1?

-1 is not base right? only 1?

(-1)^1000 = 1 = correct right ? but if

-1^1000 = -1 = correct right?

im student so correct me if im wrong :)

[Thymonico]

Yes.

-1^1000 is -1 since the negative sign is not part of what you raise to the 1000nth power! :)

So, -1^1000 is the same as -(1)^1000.

But when you include the negative sign:

(-1)^1000, you have to know whether the exponent is an even number or an odd number. Am I late in my reply? Maybe you've already learned this.. Hope it helps in any case! :)

[TheChocolatelova]

i am so temped to muliply both powers together :s

[anurre5]

omg..my students multiply them constantly too..I will try teaching it this way right next to each other..thanks!

[colombianchic128]

I have a problem. What about fractions like 8/9 squared?

[Thymonico]

(8/9)^2

=

8^2/9^2

=

64/81

Hope that helped! :)

[2tonesg]

@colombianchic128 you square the 8 and the 9. so 8 * 8 = 64, and 9 * 9 = 81. so the numerator is 64, denominator 81.

[AtheistThatsATheist]

so where are these moduals he talks about? Ive gone to his site but cant see them :S

[Channypogosticks]

hhehehhe... im in an advanced math class... but ur simplicity rocks for review:D

[killallyourfrendz7]

then what is 2 raised to 1? you'll multiply it 1x to 2 right? then 2 raised to 2 is 2 x 2 x 2 so its 8.. =_=

[truehope567]

I don't get it; how does 2^3 equal 8?

(Whah! Help meeeee!! D':)

[scorpiojudo]

well 2^3 = 2 x 2 x 2 = (2 x 2) x 2 or 2 x (2 x 2) = 4 x 2 or 2 x 4 = 8.

Remember when multiplying, it doesn't matter which side you start from. so it doesn't matter if you have 2 x 3 x 2, if you start from the middle (3 x 2) you'll get 6. then you'll have 2 x 6 = 12.

so in simpler forms - 2^3 = 2 x 2 x 2 = 4 x 2 = 8.

Good luck.

[killallyourfrendz7]

I THOUGHT the base was given, so 2^3 is 16

and exponents is the repetition of the multiplication process.. therefor 2^3 is 2 X 2 X 2 X 2 = 16.. i multiplied it four times.. my prof was so mad with it,, lol

[Matice21]

2^3 = 2x2x2=8 the 2's represent the exponet which is three. so multiply 2, 3times

[kreator34]

because 2^3 is 2x2x2....so 2x2=4 know u have 4 and a leftover 2 so that is 4x2 which =8 ...get it

[mnlfemme]

tnx so much

[masresham]

I really had hard time to figured out that why is any number to the zero power is 1 but this video helped me a lot. Thank you.

[ousainou123]

this realy helped me understand why anything to the power of zero equals one. thanks alot

[monsterwasim]

I usually get the temptation Mr.Khan was talking about in school

e.g 3 to the second power equals 6 which would be wrong

[anymanymykneemoe]

this is awesome, the way you explain exponents is a whole lot easier to understand then in class.

thank you thank you thank you.

[Symphonion]

X/0 = "undefined" and 0 to the power of 0 = 0^0 = "undefined". So X/0 = 0^0 => X = 0^0 x 0 = 0^1 = 0 which means that "undefined" = 0

Problem solved!

(If you think this is just a really bad joke, you would be right ;-)

[leapedbunion]

woot!!!!!

[southsydney]

you are doing quite a noble thing by educating people and i can only be grateful for people like u. thank u salman khan

[vcenteO14]

aahhhhhhh thnx dude u really helped me!!!!!!!!! i got a b- on a test a day ago

[Winsunn307]

Great video, Sal!

[yanuel94]

what happen if the exponents is negative what i do???

help meeeeee

[sektor54]

Ok it would be 1 over w/e ur number is. For example

3to the power of -3 would be 1/ 27.

[OnychaHazel]

zero to the zeroth power would be zero, right?

[crytz]

zero to the zeroth power (0^0) is one, as he showed you divide by the number so it would be 0/0 and although division by zero really isn't allowed, its undefined, think of it the same as 1/1, or 2/2 or 3/3 and even -1/-1, they are all equal to one. The rule x^0 = 1, where x is any number, has a higher precedence than the rule of undefined numbers because well, they're undefined. I hope that explanation wasn't too confusing, I can't explain things as well as Mr. Khan, but I hope this helped.

[Jayhawkblue]

this guy is the best math teacher on the planet

[angie5410atme]

THANK YOU!!! ARE THE BEST. GOD BLESS

[PedanticPirate]

Rabbit creative has a good point about explaining the parentheses. At (8:02) when you said -1^1000=1, it should be -1. However with the parentheses (-1)^1000=1. Just a silly mistake =D

[cp3hornets1]

TY im in sixth grade enriches math we learned exponents today , didnt quite get it but now I do. ty alot .

[Brian626]

The ^0 explanation was superb. I never really did learn about that from any of my math teachers.. thanks.

[rabbitcreative]

I think it might be useful to explain why you use parentheses around negative numbers, and what happens when you don't use them. :)

[Lizardboy4000]

What program do u use?

[Nandine2]

thank you

[chanceishot]

hey, man thanks, im usually the one to put magic on youtube, but im homeschooled, and needing a big help with exponents, thanks 2 u, im getting it now!