Answer
$\frac{125}{8c^{12}}$
Work Step by Step
The given expression is
$=(\frac{2c^{4}}{5})^{-3}$
Use $(\frac{a}{b})^n=\frac{a^n}{b^n}$.
$=\frac{(2c^{4})^{-3}}{(5)^{-3}}$
Use $\frac{1}{a^n}=a^{-n}$.
$=\frac{(5)^{3}}{(2c^{4})^{3}}$
Use $(ab)^n=a^nb^n$.
$=\frac{5^{3}}{2^3(c^{4})^{3}}$
Use $(a^n)^m=a^{nm}$.
$=\frac{5^{3}}{2^3c^{4\cdot 3}}$
Simplify.
$=\frac{125}{8c^{12}}$
