Question

Find:
${32}^{\frac{1}{5}}$

Answer 1

Given: ${32}^{\frac{1}{5}}$
$={\left(2^5\right)}^{\frac{1}{5}}$
Applying the rule of $(a^m{)}^n=a^{m\times n}$
Substitute $a=2,m=5$ and $n=\frac{1}{5}$, we get
$(2^5{)}^{\frac{1}{5}}=(2{)}^{5\times \frac{1}{5}}=2$
Hence, the value of the given expression is $=2$