Answer
$\frac{64r^{6}}{27s^{15}}$
Work Step by Step
The given expression is
$=(\frac{4r^2}{3s^5})^3$
Use $(\frac{a}{b})^n=\frac{a^n}{b^n}$.
$=\frac{(4r^2)^3}{(3s^5)^3}$
Use $(ab)^n=a^nb^n$.
$=\frac{(4)^3(r^2)^3}{(3)^3(s^5)^3}$
Use $(a^n)^m=a^{n\cdot m} $
$=\frac{4^3r^{2\cdot 3}}{3^3s^{5\cdot 3}}$
Simplify.
$=\frac{64r^{6}}{27s^{15}}$.
