Question

How do you simplify $125\frac{2}{3}$?

Answer 1

Simplify the given expression ${\left(125\right)}^{\frac{2}{3}}$:

Given, the value is ${\left(125\right)}^{\frac{2}{3}}$:

$\begin{array}{rcl}{\left(125\right)}^{\frac{2}{3}}& =& {\left(5^3\right)}^{\frac{2}{3}}\left[\because 125=5\times 5\times 5\right]\\ & =& {\left(5\right)}^{3x\frac{2}{3}}\\ & =& 5^2\\ & =& 25\end{array}$

Therefore, the required value of ${\left(125\right)}^{\frac{2}{3}}$is $25$.