Josue Winters

2023-03-11

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

matancer4e3

Beginner2023-03-12Added 2 answers

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 $2$ : 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 $2$.

$32$ can be written as :

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

$32={2}^{5}$

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 $2$.