Question

Simplify each of the following:
$2^{\frac{2}{3}}{.2}^{\frac{1}{7}}$

Answer 1

We have, $2^{\frac{2}{3}}{.2}^{\frac{1}{7}}$
By using $a^m.a^n=a^{m+n}$, we get
$2^{\frac{2}{3}}{.2}^{\frac{1}{7}}=2^{\frac{2}{3}+\frac{1}{7}}=2^{\frac{14+3}{21}}=2^{\frac{17}{21}}$