Find the value of $(32)^{\frac{2}{5}}$

Given :

The given expression is $(32)^{\frac{2}{5}}$.

To find:

The value of the given expression $(32)^{\frac{2}{5}}$.

Solution :

$(32)^{\frac{2}{5}}$

We know that,

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

$(32)^{\frac{2}{5}} = (2\times2\times2\times2\times2)^{\frac{2}{5}}$

              $=(2^5)^{\frac{2}{5}}$ 

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

              $= 2^2$.

             $= 4$.

The value of $(32)^{\frac{2}{5}}$ is $4$.

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Updated on: 10-Oct-2022

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