Question

Find:-

${\displaystyle {32}^{\frac{2}{5}}}$

Answer 1

We can write the given expression as follows

⇒ ${\displaystyle {32}^{\frac{2}{5}}={\left(2^5\right)}^{\frac{2}{5}}}$

On simplifying

⇒ ${\displaystyle {32}^{\frac{2}{5}}=2^{5\times \frac{2}{5}}}$

⇒ ${\displaystyle {32}^{\frac{2}{5}}=2^2}$

∴ ${\displaystyle {32}^{\frac{2}{5}}=4}$