Question

simplify: (512a^6/729^-9) ^-2/3
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Answer 1

Answer:

$\mathrm{Simplify\:\left(\frac{512a^6}{729^{-9}}\right)^{-\frac{2}{3}}:\quad \frac{1}{729^6\cdot \:64a^4}}$

Step-by-step explanation:

$\left(\frac{512a^6}{729^{-9}}\right)^{-\frac{2}{3}}$

$\mathrm{Apply\:exponent\:rule:\quad \:a^{-b}=\frac{1}{a^b}}$

$\left(\frac{512a^6}{729^{-9}}\right)^{-\frac{2}{3}}=\frac{1}{\left(\frac{512a^6}{729^{-9}}\right)^{\frac{2}{3}}}$

$=\frac{1}{\left(\frac{512a^6}{729^{-9}}\right)^{\frac{2}{3}}}$

$=\frac{1}{729^6\cdot \:64a^4}$

Answer 2

Here is a step by step explanation

Hope it helps ☺️.