Simplify the given expression to rational exponent form and justify each step by identifying the properties of rational exponents used. All work must be shown.

Question

anonymous · Answer

|dw:1408574426715:dw|

anonymous · Answer

Can someone please help, I don't know how to do this

anonymous · Answer

@phi hate to bother you but youre the only math person that's on .-.

phi · Answer

$$ \frac{1}{\sqrt[3]{x^{-6}}} $$?

anonymous · Answer

Yes except its 3 not 2

phi · Answer

the trick with test problems is to change roots to *fractional exponents
the cube root means the same thing as using an exponent of ⅓

* it's tiny font, but it says 3 (not 2).  maybe you can "zoom in"

anonymous · Answer

zoomed in now, easier to read 
ok so root to fraction exponent but how do you do that?

anonymous · Answer

i'll look in lesson and see if i can find out

phi · Answer

get rid of the $ \sqrt[3]{ original} $  and write  
$$ ( original )^\frac{1}{3} $$

phi · Answer

It means the same thing.  but we can use this rule
$$ (a^b)^c = a^{bc} $$

anonymous · Answer

(x^-6)^1/3
so would it look like this?

phi · Answer

yes but remember that is all under 1  (don't forget)

phi · Answer

$$ \frac{1}{\left( x^{-6}\right)^\frac{1}{3}} $$