Question

Simplify ${\left(\frac{3125}{243}\right)}^{\frac{4}{5}}$

Answer 1

$(\frac{3125}{243}{)}^{\frac{4}{5}}=(\frac{5^5}{3^5}{)}^{\frac{4}{5}}=\left[\right(\frac{5}{3}{)}^5{]}^{\frac{4}{5}}=(\frac{5}{3}{)}^4=\frac{625}{81}$