Question

a) -216.

b) -256.

c) 256.

d) 216.

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Answer 1

Explicação passo-a-passo:

$\sf (-64)^{\frac{4}{3}}=\sqrt[3]{(-64)^{4}}$

$\sf (-64)^{\frac{4}{3}}=\sqrt[3]{[(-4)^3]^4}$

$\sf (-64)^{\frac{4}{3}}=\sqrt[3]{[(-4)^4]^3}$

$\sf (-64)^{\frac{4}{3}}=(-4)^4$

$\sf (-64)^{\frac{4}{3}}=(-4)\cdot(-4)\cdot(-4)\cdot(-4)$

$\sf (-64)^{\frac{4}{3}}=16\cdot16$

$\sf (-64)^{\frac{4}{3}}=256$

Letra C