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Destinyyyy
 one year ago
Solve the equation with rational exponents.
Destinyyyy
 one year ago
Solve the equation with rational exponents.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont remember how to do this..

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\[\large (x6) ^{\frac{3}{2}} =27\] yes?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1because \(\large n^\frac{a}{b} = n^{\frac{a}{1}\times \frac{1}{b}} = (n^a)^{\frac{1}{b}} = (n^{\frac{1}{b}})^a\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1or if its simpler https://gyazo.com/dfe8c6b9853179633b8a8fe3a0bcb746

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so in \[\frac{3}{2}\] you have a cube and a square root you want to undo them both, but one by one

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\[n^{3/2} = (n^{1/2})^3 = (n^3)^{1/2}\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1and here \(n = x6\) !!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Um all im really understanding is that n= x6 ... Except I dont get the point of n

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1it is an attempt to simplify but it might just be doing the opposite you know that \[n^{1/2} = \sqrt{n}\] yes?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1and \[n^{3/2} = (n^{1/2})^3\] yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That I dont remember

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought im suppose to flip 3/2 to 2/3 to cancel it out and put 2/3 by the 27...

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if that's how you see it, go for it. it is how you solve it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. But I dont remember what to do after that

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1well, that is what i am trying to get at. you now have \[x  6 = 27^{\frac{2}{3}}\] but do you know what that 2/3 actually means?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Um its like the reciprocal of 3/2

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\[n^{2/3} = (n^2)^{1/3} = \sqrt[3]{n^2}\] and \[n^{2/3} = (n^{1/3})^{2} = (\sqrt[3]{n})^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so your saying... x6= ^3 square root 27 ^2

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1sorry, don't really get that notation, just feel free to post what you think the answer is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440786073328:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay.. Im stuck there

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1https://www.google.co.uk/webhp?sourceid=chromeinstant&ion=1&espv=2&ie=UTF8#q=calculator

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440786180440:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0?? Nothing is there.. Just a 0

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440786213763:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1yes, now cube root of that

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if you struggle with the idea of a cube root, i would strongly advise you go back over that before trying to solve these

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1did you see how i made the calculator give us the cube root? \[\large 729^{(1 \ divided \ by\ 3)}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah but that doesnt help me.. I dont know how to do that on my calculator. And I dont remember doing that when I was solving this last term.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1you may see that doing this the other way round is easier dw:1440786735885:dw recommend: A) look at these https://gyazo.com/827f7854b216732ea2587538a9759ba0 the 2 fractional exponents at the bottom, that's basically what we are doing B) play with your calculator  now we know we are looking for 9 so can you finish off for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay... Ive been using this as an example. https://www.youtube.com/watch?v=6Y3mQkqEOA

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Im still confused but okay. Thanks

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1really not sure that video is any good, it's all over the place. maybe go to the math is fun thing i linked and they have worked examples too. try to understand the exponents rules and how they work. get a feel for it rather than just flipping rational exponents over the place. good luck!
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