Question

(-216) elevado a -4/3

Answer 1

Resposta:

Explicação passo-a-passo:

Temos

$(-216)^{-\frac{4}{3}}=\frac{1}{(-216)^{\frac{4}{3}}}=\frac{1}{\sqrt[3]{(-216)^{4}}}=\frac{1}{\sqrt[3]{(-216)^{3}.(-216)}}=\frac{1}{(-216).\sqrt[3]{(-216)}}$.

Fatorando -216 temos -(2³.3³), assim

$\frac{1}{-216.\sqrt[3]{(-2^{3}.3^{3})}}=\frac{1}{-216.(-2.3)}=\frac{1}{-216.(-6)}=\frac{1}{1296}$