Solving Equations Involving Rational Exponents

[HigginbothamMath]

Hi, I'm a math teacher, and I love linking to your videos for my math students - you explain things very well. My only (very small) issue with this video is at about 2:15, when you take both sides to the 3/2 power, you do not add a +/-. But I can't be too picky if you've done all this work! :)

[patrickJMT]

@HigginbothamMath oh no! that is not picky at all! thanks for pointing this out to me, i will add some annotations about the mistake. i hate when i do this...

thanks for sharing my videos with your students and keep up the hard work! you are doing noble work.

[patrickJMT]

@HigginbothamMath thanks, just added an annotation, hopefully people will see it.

[N641991]

you answered my question in the first sentence of your video,while my textbook could not provide the answer I was looking for. keep up the videos there awesome.

[Nisalekanayake]

Helped me with my test a lot. Cleared up my mind. Thank you !

[2tagalong]

I believe your system works, but you explain way too fast.

[patrickJMT]

@2tagalong you say too fast, someone else will tell me i go too slow. that is life.

[2tagalong]

@patrickJMT Yeah, that is right....that's life. You're a real people person aren't you....lol

[2tagalong]

@patrickJMT

[1ambeaux]

how do you 27 to the 3/2 power? i know u did 16 but 27 doesnt have a square root so how would do the problem with 27?

[Ashlerrx]

I have a Math final tomorrow and you just saved my life with all your videos. :) Thanks.

[harajukugirlxx3]

I used to freak out knowing that a math test is on it's way. This year I started to watch your videos. I can't even explain how much they have helped me. I am not the best at algebra and my math teacher goes too fast and has the worst handwriting ever. I now take math tests with more confidence. (I used to not be even be able to sleep the night before a math test!!) I am less stressed and have a better average. Another great tutorial, math savior!

[patrickJMT]

@harajukugirlxx3 ah, that is nice : ) i am glad i can help you sleep at night!!

[lilmisslauren13]

whenever i have difficulty understanding something in math and i google how to do it and see one of your videos pop up i get really excited because your videos are the best <3 thank you and dont stop making videos!

[patrickJMT]

@lilmisslauren13 glad you like the vids : )

[HotmailHacks]

left handed ftw!

[steelcantuna]

I watch & appreciate your video’s more than any other lessons on the Tube. I just wish there were a way to work this type of equation using: Please Excuse My Dear Ante Sally.

The closest I can come to using this rule is:

2X^1/3-5+5 = 1+5

(2X^1/3)^3 = (6)^3

8X/8 = 216/8

X=27

[TaKeShi259]

Thanks man :D,

[JPizarro111]

haha i love that corny little picture at the beginning :D

[quinnmae]

ythanks



[blkazn77]

AHHHHHH!!! I can't get the video to play!

[PrinceLuvPeace]

Thank you, that's very kind of you sir,...very helpful.

[mikala15555]

you have really helped im in algebra 2 /trig and i dont really understand it so ive been looking at ur vids . im in nys and all the teacher does is teach to the test (regents) and he goes way to fast to even write down notes, so these vids r helping a lot . Thank you so much

[patrickJMT]

@mikala15555 happy that i can help : ) come back anytime!

[carmelarouk]

i'm just really curious mr. patrick...what is your secret that makes teaching math fun? no offense intended, but when i hear my math teacher talk, all i hear is a droning sound...but when i hear you discussing, i actually hear ACTUAL words - i don't even have to think twice about copying what you said on paper!!! i posted some of your videos on our section's group on facebook (i'm a sophomore in H.S) and my classmates commented that they already got it!! so behalf of 2nd year - St. Mark, THANKS!

[carmelarouk]

@carmelarouk whoa, i used up all 500 characters on my comment :)

[patrickJMT]

@carmelarouk i am not standing in front of a class, making you sit there. that is the difference!

[carmelarouk]

you're a blessing that can be found on the world wide web!!!

[wangbungal]

can you solve this for me? 1=x^4/3+x^4, find x,could you explain it as well, i just use my calcu to solve this,but i dont know how to write the solution thank you

[macajada]

You sir are amazing thank you

[chirri13]

ur vids are sooo helpfull and rock!!!! thanks man

[TrollingGrandmas]

(16^1/2)^3

do you ignore the.. +- sign here?

what if you take that into account

what will the answer be? Thanks :)

[sheshahari]

cant understand my teacher so i go here and i understand better lmao

[Kuessemir]

Hi, can you please explain what is going on after you raise 16 to the 3/2 and when you write (16^1/2)^3. Why did you write ^1/2? What is that step? Thank you for your work!

[FrameSticker]

Don't you have to check your solutions if you raise an equation to an even power?

x=1 (square)

x^2=1 (square root)

x=1 and -1, while -1 does not satisfy the original equation

[awesomeninja241]

@FrameSticker yes you do

[FrameSticker]

@awesomeninja241 But Patrick didn't

[Deadhead907]

You are a math God... and I bow down... I'm not worthy..

[Frillete]

I hate my algebra teacher, so now I can keep up with homework and crap without having to pay attention in class

[christinasmolder]

Thanks =)

[Stealth72079]

Very helpful, i like how you start off easy and ended with a difficult one.

[coocoo4chingypuffs]

thanks so much

[444zane3]

you rock

[yeijie456]

Hey Patrick. Quick question, how do i send you questions to your email without your email D=

[justice576]

doooood... go be a teacher please!! you have the wits and certainly the ability to instruct properly! i've probably learned more from your videos than all of my highschool years of algebra put together

[NightShadeslayer]

Hi :)

What about solving systems of equations? When both equations have variables in the exponents and different bases.... >.< I'm stuck.

[TylerBunnylover]

Why, hello, you are my new best friend. :) I am like...math-retarded. Lol. So this will help me out a lot. /sub.

[ScorpiaStingz9595]

Dude, thanks for these xD

Our algebra 2 teacher showed your vids in class.

Said she was too lazy to teach us : D

They really helped!

[patrickJMT]

@ScorpiaStingz9595 what a terrible teacher you have.

[ScorpiaStingz9595]

@patrickJMT She was joking.

I think. =w=

Well, my class /is/ a bit hard to handle.

-is actually making it seem better than it really is-

[patrickJMT]

@ScorpiaStingz9595 ha, ok : )

[velasquezeminem]

@patrickJMT dude thanks so much for this. my math teacher had us present a topic for our class as our final project & my friend & i chose solving equations with fractional exponents thanks to ur video i learned more & i get it now..... we present tomorrow & we're ready to go =)

[yenirakiodalisque]

@ScorpiaStingz9595 ahahahaah your teacher is crazy!!!!! Does she want to lose her job? lol

[ScorpiaStingz9595]

@yenirakiodalisque She can't lose her job...She's the principal. LOL.

[G165wan]

@ScorpiaStingz9595 in the near future......youtube will become school!!!!! :))) 

[ScorpiaStingz9595]

@G165wan Yaaaay~ >w< It's much better than listening to boring old lectures, that's for sure xDD

[thejanitorssuccess]

my son is 6 and this is his home work.

[coldflames34]

awesome video this explained exactly what i was having problems with

[badbarada]

you rock

[patrickJMT]

@dpahls1 glad to help! i have tutored many children of engineers : )

[MrInsanity132]

thanks this video was very helpful to me. 1 question though, how would you solve y=6-y^(1/2) ? thanks

[velasquezeminem]

@MrInsanity132 if y=6 & y^1/2 then replace the 6 with the y as in 6^1/2

[ChicoEdge]

Thanks. I don't think my Algebra 2 text was written by human beings. In fact, I'm pretty sure it was written by soulless machines. I appreciate having the concepts explained in a way that makes sense.

[Charlymaumushi]

@23ALEJANDRA23 I suck too. But I like math n.n

[theburgh70]

how do you solve when the exponent is a fraction of x ? i.e. 2.75= 5,5 to 3.8/x

[sofiaisthesex]

Your really good! Thank youu :D

[patrickJMT]

@23ALEJANDRA23 sorry i was not of more use to u

[andrewskyworker]

please how to solve this (3^x+3^x+3^x)^2 and another is (P+Q)(P-Q)  and p=2^2000 + 2^-2000 and Q =2^2000 - 2^-2000

[alane455]

This was a lot of help!!! I wish I would have found you before my test! I will be sure to look up your videos if I need help again, thanks!

[Diadara114]

Thanks for the youtube study. Could you possibly put up a segment for graphing cubics and higher powers? It'd really help me out!

[cbizz00]

in the beginning of the video. when you divided the 2 from both side is that the LCD?

[wizardo25]

I might be loving Algebra :)

[purpleab1]

Man I really hate math

[itsbrendafoshizzle]

omg wow your handwriting's neat and you make it so easy to understand!

[ethan9010]

he did it wrong when you do the inverse power the signs switch so 1/3 the inverse isnt 3 its -3

[faceownddd]

@ethan9010

No, actually, you're an idiot. To find the reciprocal, you simply take the opposite, and KEEP the sign. You have to keep the sign to make sure it comes out to 1, not -1.

Ex. 1. (1/3)(-3) = -3 *INCORRECT* 2. (1/3)(3) = 3 *CORRECT*

[ethan9010]

@faceownddd thnks for calling me stupid i apreciate it (and i do know i spelled it you dont have to correct me) you should probly talk to my math teacher not me i learned that months ago and now i barly remember that so its a bit hard to defend myself and thats all i have to say in answer to your harsh words

[bigjoe686659]

amen

[protosstic]

thanks man and

i swear every left handed persons writing is neat

[robnel14]

mines terrible : D

[vernus85]

its proven that left handed ppl have an avarage of higher IQ than right handed ppl

[ImUrNightTerror]

its proven that left handed people are not right.

[vernus85]

that means im right !!! coz im not left handed : ) heheh

[jacobsmichael121]

sir,

I would like to know if you could find x from the following equation,

25=x^(x^2)

thank you

[robnel14]

25=x to the power of x to the power of two?

I don't think that's possible. ...

[maddie271]

left handed

[hailmetal16]

This is really helpful.

My teacher flys through this shit, and I'm still taking notes, but my problem is I can't absorb and note take simotaineously.

Any ideas? I can't go into college like this/.

[ps3istheshit2]

i listen to music and sleep or draw

and then i go to youtube to learn Math :D

my teacher explains everything way too fast

[chickensaurusrex711]

same fml

[allciityda]

now if im correct at 6:19 you factored wrong. you got the multiplying part right (-4 x -5 = +20)

but when u add them (-4 x -5 = -9 ) which is not equal to -19

correct me if im wrong but its been bothering me the whole video.. plz

[lightsabre5511]

you're right

[Lisa13245]

Where did you get -19 from?

I got -20

[Liberator1812]

He factored correctly. A simple way to verify is pause the video and multiply the factors and they check out. Its not a simple trinomial it has in front a coeffeicient of 3, so you find two numbers adding to -19 and multiplying into 60. not 20.

[hildesam]

you're blowing my balls this isn't the way I learned this in class now im confused as fuck for my exam tomorrow :S

[patrickJMT]

so stop watching and do it the way you learned in class.

[hailmetal16]

Easy now, Jeez.

Down, Snappy.

[thedrunkpianist]

great work, the explanations given have been more clear than other videos i've watched. Thanks!

[keithbt430888]

awesome video this is a big help on my intermediate algebra final

[mickeyjclay]

These problems were in my homework I was doing today.. How great is that ? Thank you So much..

We us College Algebra by Gary Rockswold..

Do you have any videos regarding Asymptotes?

[ilovekoreanos]

Great! That would really be helpful :) Thanks!

[ObamaPress]

Thanks! Well done!

[patrickJMT]

thanks pres. obama!

[SayomiKamikura]

thanks a lot!!! I have a test tomorrow and Rational Exponents are included in my pointers for review~!!!!

[brewersfan7]

All righty. I having trouble recalling what you do with these kind of problems:

6^2/3 * 4^2/3 all divided by 3^2/3...could you do that? I need this like yesterday. Thanks.

[OmFgFFsWtF]

TYVM, this helped me study for my test :D

[revtevye]

Man, excelent channel! really really helpful.

[1matth3w1]

um i dont get the very last part how do you cross multiply or flip the equation if the the fraction is positive? that confused me howd you get n=3/4?

[Nickidewbear]

1/n = 4/3; n = (1*3)/4

[thednud]

hi i am having trouble with this problems X 2/7 + 9X 1/7+20=0

please help

[patrickJMT]

was busy teaching today, so did not get back in time!

yes, your solution is correct!

[WS102]

Cool vid.

[passtheapathy]

Very helpful video, thanks for posting :)

[patrickJMT]

The way I solve this is a bit 'overkill'! It would be easier just to multiply both sides by n^2 and turn it into a quadratic function!