Evaluating Numbers Raised to Fractional Exponents

[1OMJALEX]

You just made my SAT Math score go a little higher :D

[333powwowful]

Happy early 60k views on this video!!! XD

[patrickJMT]

@333powwowful 60,006 right now ; )

[333powwowful]

@patrickJMT lol now but when i seen it was under....:P

[thebingbongyang]

you just saved my midterm grade

[AlLencUte10]

wow i learned alot!!! :DD



[noobeable]

i need help solving a fraction to a fractional exponent.

[xoxokiss101]

thank you so much, so much help!!

[vajeeha121]

thanks!

[bryfryable]

i was always told that whenever you take a number in the numerator that is attached to a neg. exponent and put it in the denominator, you take away the negetive from the exponent and then flip the powered fraction. for instence 8 to the neg 1/3 squared should be 1 over 8 cubed, squared. i dont get it. i thought you also fliped the fraction when you take its attachment in the numerator and place it down in the denominator. a little help please!

[ItzzNolan]

Lol, u should be my teacher....soo much better than my algebra teacher...

[GLORYdubstep]

I guess 11 people don't like lined paper

[patrickJMT]

@GLORYdubstep i also do not like it, but it was all i had at that time

[yourmomisfat69]

MUCH BETTER THAN MY HIGH SCHOOL MATH TEACHER!!! THANK YOU

[jeleemay97]

...you are a genious. My teacher could NEVER teach this to us! She tried for one and a half hours but couldn't. I appreciate you so much for making these videos and etc. etc. You enunciate well, have good handwriting, explain it well, go over it slow, and just teach well! I can understand this even with just one example whereas in class, I still don't understand it after class if over. Thank you SO SO SO MUCH!!

[patrickJMT]

@jeleemay97 glad i was able to help you : )

[iboldvids]

This is the value of the internet in modern education.

[untsmurf]

Can you do a problem that isn't a perfect square or cube? I have to solve 3.4^2.1 without a calculator

[babyboy69881]

Great video!

[babyboy69881]

I like how I learn more at home than I do in school.

[jaderoxi17]

you should solve a problem (25x^6)^-1.5

[steshani1000]

genius!

[the9461roger]

thanks bro this was very helpful

[crackphoo]

thank you so much for uploading this

[THATrandomKID39]

the coolest video ever i could use this wen im touching myself in the restroom ! lol

[misspoplover]

you are are best maaan!!!!

no one can do this better than u

[patrickJMT]

@misspoplover thanks : )

[babypeach001]

Your the man!!! You are going to help me sooooo much in my class right now :)

[spuddapotato2494]

dude thanks! 

[patrickJMT]

@spuddapotato2494 you are very welcome : )

[Foreverasickchick]

lefty!!!

[GrantBibby]

Thank you



[TheMaaneetLuver]

THANK YOU SOOOOOO MUCH!!:)

[patrickJMT]

@TheMaaneetLuver no problem, happy to help!

[xfingersify]

Thank you so much! Now I feel more confident:)

[jaredpistoia]

awesome thank you

[AlaskaKace]

Thank you! That was incredibly helpful!! =)

[SHINieldrimz01]

thank you so much for posting :)

[antioch112]

Thank you for helping this teacher prepare for his math certification exam tomorrow! You are an excellent teacher...may God bless you!

[colinbluewood]

math is a fuckin asshole! D:<

[funnyman7894]

THANK YOU YOUR A GOD AMONGST MATH TEACHERS

my teacher is a piece of crap because he usually teaches the lesson but skips important steps or does not explain them very well leaving the class to be screwed

[riceman1qwert]

Skip Ads 0:01

[jonathanexp2]

this guy writes so neat...WTF

[domnacorda]

Thank you! You are my only professor in my self-conducted college application review, and yet you make it easy for me. Thanks a lot!

[topsy420]

Holy fuck I hate math

[albyguitar11]

you make my UNIVERSITY math teacher look like an armless retard infant

[DullahOblongata]

My teacher spent 90 minutes trying to teach this and still failed at it. and now i perfectly get it from your video. thank you so much

[teritot]

haha. great! i missed two classes this week and we have a test next class. THANKS FOR THE HELP! you explained it so well. I've never done this before and i'll be fine for the test just from watching your video!

[MintyxoMindy]

Thank you! :)

[MysTeri0usMatT7]

I enjoy watching your videos my friend, Algebra II isn't hard at all for me, I enjoy it a lot this year in 12th grade, I want to dive into calculus sooner or later.

[MaccGM35]

thank you so much..

[AZNPINOY345]

I just want to say how much you saved my ass... Finals are inbound for me, I learned how to do fractional exponents now. (Shame on me for falling asleep in my 1st period Int. Alg classes)

[Deliciousnessify333]

What if I had. 64 and -4 over 3 as a fractional exponent??

[biggdog523]

thanks bro!

[vaansolidor]

you are my hero

[rustyrobot20]

i like your marker

[crockercharlotte]

You have taught me in 10 minutes what I couldn't grasp in 3 years. THANKYOU

[awesomeninja241]

@crockercharlotte you guys have bad teachers..

[d789b]

Man, what if it's (x-3)exponent of -1/4, how do you solve that? I know if it was (x-3)exponent of 2 it would be (x-3)(x+3).

[d789b]

man, what if it's (x-3)exponent of -1/4, how do you solve that?

[msj080181]

Evaluate 3^1/3 * 9^1/2

[lexinaut]

(like)(like)(like) is like to the third power. Very clearly presented.

Obey the Laws of Exponents!

[gravebutterfly]

Yo, this was super helpful, i ended up missing a week of class and this really helped prep me for the test.

[WuTangThang]

I dominated at this in middle school, I'm now 22 and can't remember ANYTHING. Thanks for the vid man.

[PenguinSplash]

THANK YOU!!! =)

[patrickJMT]

@PenguinSplash no problem

[mchipman78]

omg, thank you sooo much - i love you for this!!! thank you for taking the time to post the help!!! :]

[Abdallah0822]

ur so nice patrick

thanks

[XDSakuraBlossomXD]

Thank you soo much it really helped and i have a big math test today!

[neato0z]

Thanks to this awesome tutorial I now have a little more time to play world of warcraft. You're awesome pJMT.

[deco101]

wow really didnt realize how fast you forget things ... thanks for the reminder man

[patrickJMT]

@deco101 u r very welcome

[EpicXI]

@patrickJMT

How are you reducing your fractions?

At 6:48 did you use the GCF to turn 4/6 to 2/3?

[addiktion13]

@patrickJMT Thanks for the clarification Patrick. I've deleted my comment so I don't confuse anyone!

[patrickJMT]

@addiktion13 ok, sounds good! : ) also, did not mean to 'call you out', just wanted to clarify things for you and others! it is certainly a common little mistake though, one that i am sure i have also made!!

[n04H93]

how do you solve 3/4 to the 2nd power??

[djjoelroche]

I am less stressed out about this upcoming school year because of this thank you Patrick!!! :D

[patrickJMT]

@djjoelroche less stress is always good : ) feel free to visit during the school year... patrickjmt is always here, boring someone : )

[xGUNxBUNNYx]

Man all I had to do was break down the expression, thanks for posting this vid.

[patrickJMT]

@xGUNxBUNNYx happy to do so - a useful skill in math is taking a big problem and trying to turn it into many smaller problems!

[sheshahari]

oh this is now what im finding im still 1st yr highs i cant understand this still

[atlanta5321]

@sheshahari i can help u if you need help. let me know

[tannersk869]

thanx for the vids man im decent at math but this just wasn't making sense until i looked at ur way of doing it thnx alot

[scottjosh50]

so basically the numerator becomes the exponent and the denominator becomes the number on top of the radical?

[RichRollin88]

Thanks for the vid, i have to stop snoozin in class :(

[rayraylee3]

YOU ROCK!!!!!!

[wolfy365]

damn, nice straight line

[jbyrd1105]

how would you solve -4(-1/2)^7 ?? I'm having a hard time with that one..

[inkantadya]

2P15Q=-4 WHAT IS THE ANSWER

[abcchia]

i like the way you teach this shit

[sh4d0w4rri0r]

do u have a tut. that show fractional exponents power to fractional exponent?

ex. (2^2/3)2/3 or sumthing like that? or is that even possible?

[FineItalianLeather]

very good explanation

[Chrisspy704]

you know what, I HATE MATH XL! any online computer math programming made for educational use is crap. I can't beleive I have to go thru videos like these instead of my teacher to learn something. Teacher won't help, and Math XL is worse.

[SaraPunkzz]

have you checked out khan academy

[wolf95]

lol...my algebra teacher's name is Ms. Khan

[aquemeni541]

Yes, it is. I can't stand XL. I always end up figuring it out on my own, or watching this guy who knows what he's doing.

[fanofwrestling123]

I need help on these question, my retard teacher never explained anything to the class:

(-6)^0 divide by 2^-3

(3x^2y)(6xy^4) divide by -9xy^3

(3^3 + 3^2)^0 divide by 3^-1

I really need help on this ASAP. Have my final exam in two weeks. Someone help me, thanks.

[ihadtomakethis6000]

wooow your so much clearer than my math teacher, your officially my hero

[McTaggStar]

Good explanation! This helped a lot.

[angrywinds]

Some things you explain poorly. Like where on Earth did you get that -1 from?

[McTaggStar]

@angrywinds He got the -1 because (-1) x (9) = -9.

[cloudconnects]

Thank you, very good job

[tmacm0nk3y]

GREAT VIDEO!

[froggygirl22]

OMG THANK YOU!

took me long enough time to help me with my math exam review :)

Your my hero to the max for this

[austintheactor]

Thank you for helping me jog my rusty memory

[emilycatharine]

THANK YOU SO MUCH!

[ellieparton]

OMG I LOVE YOU!!!!!!! your videos are amazing

[rockintennis]

I love you

[jjonasLOVER26]

super thanks! it helped me a lot! =]

[TheRemixer05]

nice.. you're a lefty, so am i!

[jccl28]

Again, thank you for these tutorials. You really helped me in understanding the iffy parts of negative exponents. You are clear and thorough in teaching. thumbs up!

[Profetdamc]

Thank you soo much!

[charissethea]

thank you

[popularism]

thanks alot wat u do helps alot of ppl:)

[dot33]

THANK YOU!!!

[anikode52]

Very helpful. Thanks a ton!!

[EnvyAbomination]

my head is bleeding, but it's bleeding less now.

[Earthkwaku]

It kinda confusing but you're doing a good job

[patrickJMT]

you have no clue and yet... you post the longest most rambling stuff.  i love the internet

[fafase]

@patrickJMT I would have said the same until I checked on my calculator and yes, Juan got over excited. Yet, I don't totally get it. Ex: -3^2=9 but -(3)^2=-9 isn't it?

[fafase]

well You are right I will just keep that in mind.... and Juan!!! sssshhhhh you disturbing the class!!!

[Aquamissile42]

@fafase Not exactly. What people don't get is that -x^2 isn't the same as (-x)^2. Since exponents are done before multiplication, and that the negative sign is basically multiplying by negative one, you have to do the x^2 first before giving the x a negative value, in the first one. In the second one, the multiplication by negative one is done before the exponents due to the parenthesis. That's why

-x^2 is always negative, and that (-x)^2 is always positive.

[juanpjp27]

@patrickJMT lol, yeah but im right!

[Nazified]

@patrickJMT Patrick, could you explain this one? (a1/2 x a3/2)^2

Thanks alot!

[awesomeninja241]

@patrickJMT without the internet i would be dead

[Aquamissile42]

@juanpjp27 I don't care how many people might have said this to you, and I don't care that his is an 11 month old comment, but:

You're an idiot.

[juanpjp27]

@Aquamissile42 why u motherfcker you! how much is 16^3/4 and how much is -16^3/4???? Get your calculator out bc you are a motherfcker who's fcking prostitute you call mom smoked and did drugs while she was pregnant with you.

HOW MUCH ARE THEY???? HUH, ARE THEY TEH SAME VALUE????????

How much is 3^5 and -3^5???????????????

[Aquamissile42]

@juanpjp27 Stop cursing. I just think it's idiotic of you to attack Patrick like this. His videos are great and educational, and you should learn from them. He knows more math than you do. The exponenets are applied before the multiplication of the negative sign. It is a standard rule mathematicians follow. Now stop embarrassing yourself and learn some basic math.

btw, calculators don't apply standard order of operations. That's why you're getting contradictory answers.

[SenorRamos]

You are a life saver. Its been years since I have had to do this type of math and your video was a great refresher!

[sparkbeck]

You write really well! =] <3

[bogdanwarchief]

bla bla hate maths

[patrickJMT]

bla bla who cares

[ShadyMan01]

Then why watch it.

[plumcrazypurp]

you're definetly the best guy making math videos for youtube

[MetalSwitch95]

For the first problem I would have wrote the 8 as 2^3. Then multiplied the exponents. Since the 3s cancel you're left with 2^2, which everyone knows is 4.

[mojo232]

mann you are smart can u give m ejust some general advise to help me with my math because i suck and i need to get better

[patrickJMT]

make sure you have mastered basic arithmetic - most people still can not add fractions with numbers, so when you throw variables in, it is : game over man, game over

[Fantastor]

lol. game over child.

[Fleep981]

@patrickJMT Love the l4d reference

[uzma11]

..This was ok.. but it wouldc'v been better if you could not write so confusingly.. for example; a '.' (dot) for times!

nd all the wierd [ ] bracketsz

..but thanks anyway (Y)

[patrickJMT]

unless you are in second grade, no one uses an 'x' for multiplication

[Jackalofdeath]

also since there are variables, would be confusing to see "X x X"

[Twiddlemonkey]

Lol!!!

[ewaldjw]

Amazing! Thanks so much!!! I registered for a class that's a little much for me and you're helping me catch up! Thanks!

[natalia22]

thank you very much :)

[coronersinquest]

so let's (lipsmack) see, if we can (lipsmack) make some sense out of that.

Just kidding, great job, 5 *

[ahda81]

This is very helpful to clearify the blocks in my Math class. Thanks Much.

[kellsterxoxo]

ohmygod. thank you so much! yer my lifesaver!!

[avalonicus]

Thanks a lot! Finally a clear explanation on this subject.

[1stholly]

Thanks! you are a life saver. I am not a math gifted person, and my teacher doesn't help much, so I appreciate your help :)

[AL3Xmotodude]

thanks alot man. This really helped me out. My math teacher never explained this to us even though we got questions like these on our homework.

[AutopilotOff024]

huge help, this is what youtube was made for. thanks a lot!

[ryanspeed]

Thanks Patrick!

It's been about 20 years since I last did problems like these and needed a "jump start" to get me back into it. You're a great help!

[daftpunx234]

THanks man, mucho helpful.

[ZXcannon]

thank you

[patrickJMT]

no problem!

[natsu76]

thank you !!!! it really helped me !!! Mwahhh <3

[patrickJMT]

i am not sure how to help you on the programming end of things... i took a C class, but that was about 10 years ago...

[BubblesTroubles]

I need to calculate e raised to various powers of pi, where e = 2.718... and pi = 3.141...

for example, e^pi, e^pi^2, e^pi^3 ...

How can I do this? I have tried by writing a Java program, but there is no power function in Java for fractional exponents.

[patrickJMT]

actually, i would use a taylor series representation to get the desired accuracy. that would work

[kkheos]

On your last problem, can't you distribute the second power to 1/2 +1/3?