Question

Find the power of 32 1/5 and explain me the method.

Answer 1

Answer:

2

Step-by-step explanation:

${32}^{ \frac{1}{5} } \\ = \sqrt[5]{32} \\ = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} \\ = 2$

May it helps you.

Answer 2

$\sf\huge\bold{Answer:}$

Given :

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

To find :

Simplest form

Solution :

$\red{\tt \: = 32 {}^{ \frac{1}{5} } }$

${\tt \: = (2 \times 2 \times 2 \times 2 \times 2 ) {}^{ \frac{1}{5} } }$

$\tt = ({2}^{5} ) {}^{ \frac{1}{5} }$

$\boxed{ \tt \: ( {a}^{m}) {}^{n} = a {}^{m \times n} }$

$\tt\ = {2}^{5 \times \frac{1}{5} }$

$\tt\ = {2}^{ \cancel5 \times \frac{1}{ \cancel 5} }$

$\tt\ = 2$

$\huge \boxed{\underline{ \purple{ \: \tt \: 32 {}^{ \frac{1}{5} } = 2} } }$