Question

pessoal me ajudem preciso entregar amanhã!



Resolva as seguintes potências acima:​

Answer 1

Explicação passo-a-passo:

Lembre-se que $\sf a^{\frac{b}{c}}=\sqrt[c]{a^b}$

a)

$\sf 9^{\frac{2}{3}}=\sqrt[3]{9^2}$

$\sf 9^{\frac{2}{3}}=\sqrt[3]{81}$

$\sf 9^{\frac{2}{3}}=\sqrt[3]{3^4}$

$\sf 9^{\frac{2}{3}}=\sqrt[3]{3^3\cdot3}$

$\sf \red{9^{\frac{2}{3}}=3\sqrt[3]{3}}$

b)

$\sf 4^{\frac{1}{2}}=\sqrt[2]{4^1}$

$\sf 4^{\frac{1}{2}}=\sqrt[2]{4}$

$\sf 4^{\frac{1}{2}}=\sqrt[2]{2^2}$

$\sf \red{4^{\frac{1}{2}}=2}$

c)

$\sf 8^{\frac{1}{3}}=\sqrt[3]{8^1}$

$\sf 8^{\frac{1}{3}}=\sqrt[3]{8}$

$\sf 8^{\frac{1}{3}}=\sqrt[3]{2^3}$

$\sf \red{8^{\frac{1}{3}}=2}$

d)

$\sf 4^{\frac{2}{4}}=\sqrt[4]{4^2}$

$\sf 4^{\frac{2}{4}}=\sqrt[4]{16}$

$\sf 4^{\frac{2}{4}}=\sqrt[4]{2^4}$

$\sf \red{4^{\frac{2}{4}}=2}$