Question

How do you simplify ${32}^{\frac{1}{5}}$ ?

Answer 1

Step $1$: Find factors of $32$.

$32$ can be written as :

$32=2\times 2\times 2\times 2\times 2$

$32=2^5$

Step $2$ : Simplify the required term.

${32}^{\frac{1}{5}}$can be written as ${\left(2^5\right)}^{\frac{1}{5}}$.

Using the law of exponents,

${\left(2^5\right)}^{\frac{1}{5}}$ can be written as $2^{\frac{5}{5}}$.

Thus, ${32}^{\frac{1}{5}}$$=2$.

Hence, ${32}^{\frac{1}{5}}$can be simplified as $2$.