Josue Winters

2023-03-11

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

matancer4e3

Step $1$: Find factors of $32$.
$32$ can be written as :
$32=2×2×2×2×2$
$32={2}^{5}$
Step $2$ : Make the necessary term simpler.
${32}^{\frac{1}{5}}$can be written as ${\left({2}^{5}\right)}^{\frac{1}{5}}$.
Using the exponentiation rule,
${\left({2}^{5}\right)}^{\frac{1}{5}}$ can be written as ${2}^{\frac{5}{5}}$.
Hence, ${32}^{\frac{1}{5}}$$=2$.
Hence, ${32}^{\frac{1}{5}}$can be simplified as $2$.

Do you have a similar question?