Question

Qual valor de 16 elevado a 4/3

Answer 1

Resposta:

$16^{\frac{4}{3}}=32\cdot \:2^{\frac{1}{3}}\quad \left(\mathrm{Decimal:\quad }\:40.31747\dots \right)$

Explicação passo a passo:

$=\left(2^4\right)^{\frac{4}{3}}\\=\left(2^3\cdot \:2\right)^{\frac{4}{3}}\\\\=\left(2^3\right)^{\frac{4}{3}}\cdot \:2^{\frac{4}{3}}\\\\=16\cdot \:2^{\frac{4}{3}}\\\\=16\cdot \:2\cdot \:2^{\frac{1}{3}}\\\\=32\cdot \:2^{\frac{1}{3}}$