Question

Expresse as potências sob a forma de radical.

a) $5^{3/4}$ b) $32^{1/5}$ c) $2^{2/3}$ d) $9^-{1/2}$

Answer 1

Saiba que: $a^{\frac{m}{n}}= \sqrt[n]{a^m}$

Então:
a)
$5^{\frac{3}{4}}= \sqrt[4]{5^3}$

b)
$32^{\frac{1}{5}}= \sqrt[5]{32^1} =\sqrt[5]{32} \\\\ Se \ quiser \ seguir \ no \ c\'alculo:\\\\ \sqrt[5]{32}=\sqrt[5]{2^5}=2$

c)
$2^{\frac{2}{3}}= \sqrt[3]{2^2}$

d)
$9^{-\frac{1}{2}}= \sqrt{9}$