Question

Simplify Rational Expression 8^8/3​

Answer 1

`\large\boxed{8^(8)/(3)=256}`

Explanation:

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