Question

Evaluate (64/225) power-3/2​

Answer 1

Answer:

$\frac{3375}{512}$

Step-by-step explanation:

$(\frac{64}{225})^{\frac{-3}{2}}\\= (\frac{8^2}{15^2})^{\frac{-3}{2}}\\\\=(\frac{8^{-3}}{15^{-3}})\\\\= (\frac{15}{8})^3\\\\= \frac{3375}{512}$