Question

Simplify:$${8}^{\tfrac{2}{3}}$$

Answer 1

$${8}^{\tfrac{2}{3}}$$

$$={\left({2}^{3}\right)}^{\tfrac{2}{3}}$$

$$={2}^{3\times\tfrac{2}{3}}$$.............. since $${\left({a}^{m}\right)}^{n}={a}^{mn}$$

$$={2}^{2}=4$$