Question

Simplify Rational Expression 8^8/3​

Answer 1

Answer:

$\large\boxed{8^\frac{8}{3}=256}$

Step-by-step explanation:

$a^\frac{m}{n}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m\\\\\text{We have}\ 8^{\frac{8}{3}}\\\\\text{Calculate:}\\\\8^\frac{8}{3}=\left(\sqrt[3]{8}\right)^8=2^8=256\\\\\sqrt[3]8=2\ \text{because}\ 2^3=8$