# Thread: Exponents and square roots

1. ## Exponents and square roots

For the question :

The square root of the fifth root of 4a^4

$\displaystyle 2^\frac15a^\frac25$
2. $\displaystyle \sqrt {\sqrt[5]{{4a^4 }}} = \left( {\left( {4a^4 } \right)^{\frac{1}{5}} } \right)^{\frac{1}{2}} = \left( {\left( {4a^4 } \right)^{\frac{1}{2}} } \right)^{\frac{1}{5}} = \left( {2a^2 } \right)^{\frac{1}{5}} = \left( {2^{\frac{1}{5}} } \right)\left( {a^{\frac{2}{5}} } \right)$