Question

Evaluate : $8^{\frac{2}{3}}\times {243}^{\frac{-3}{5}}$

Answer 1

$8^{\frac{2}{3}}\times {243}^{\frac{-3}{5}}$

$=2^{3\times \frac{2}{3}}\times 3^{5\times \frac{-3}{5}}$

$=2^2\times 3^{-3}$

$=\frac{2^2}{3^3}$

$=\frac{4}{27}$