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I have to do this, how would I even start, and how would I do other questions like this?

 May 19, 2019

Best Answer 

 #1
avatar+6046 
+3

\(\left(32x^{20}y^{-15}\right)^{-\frac 4 5}\\~\\ 1)~\text{apply the outer exponent}\\~\\ \left(32^{-4/5}x^{-16}y^{12}\right)\\~\\ 2)~ \text{put negative exponents into the denominator}\\~\\ \dfrac{y^{12}}{32^{4/5}x^{16}}\\~\\ 3) ~\text{note that $32^{4/5} = 2^4=16$}\\~\\ \dfrac{y^{12}}{16x^{16}}\)

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 May 19, 2019
 #1
avatar+6046 
+3
Best Answer

\(\left(32x^{20}y^{-15}\right)^{-\frac 4 5}\\~\\ 1)~\text{apply the outer exponent}\\~\\ \left(32^{-4/5}x^{-16}y^{12}\right)\\~\\ 2)~ \text{put negative exponents into the denominator}\\~\\ \dfrac{y^{12}}{32^{4/5}x^{16}}\\~\\ 3) ~\text{note that $32^{4/5} = 2^4=16$}\\~\\ \dfrac{y^{12}}{16x^{16}}\)

Rom May 19, 2019

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