# How do you simplify root13(x^52)?

Apr 17, 2018

${x}^{4}$
Recalling that $\sqrt[b]{{x}^{a}} = {x}^{\frac{a}{b}} , \sqrt[13]{{x}^{52}} = {x}^{\frac{52}{13}}$
$\frac{52}{13} = 4 ,$ so we get
${x}^{4}$