Question

Siga os exemplos
$9^{2/3}= \sqrt[3]{9^2}= \sqrt[3]{81}$
$\sqrt[3]{5^4}=5^{4/3}$

a)$\sqrt[2]{2^8}$
b)$\sqrt[4]{3^5}$
c)$4^{2/5}$
d)$1^{2/3}$
e)$\sqrt{2}$
f)$\sqrt{ \frac{1}{2} } }$

Answer 1

a)$\sqrt[2]{ 2^{8} } = 2^{8/2} = 2^{4}$
b)$\sqrt[4]{ 3^{5} } = 3^{5/4}$
c)$4^{2/5} = \sqrt[5]{ 4^{2} }$
d)$1^{2/3} = \sqrt[3]{ 1^{2} }$
e)$\sqrt{2} = 2^{1/2}$
f) $\sqrt{1/2} = \sqrt{ 2^{-1} } = 2^{-1/2}$