# How do you use laws of exponents to simplify (x^(1/6))^(1/5)?

Aug 5, 2015

=color(blue)(x^((1/30)

#### Explanation:

• As per property

$\textcolor{b l u e}{{a}^{{m}^{n}} = {a}^{\left(m \cdot n\right)}} = {a}^{m n}$

Applying the same property to the expression:

x^((1/6)^color(blue)((1/5)

=x^((1/6)*color(blue)((1/5)

=color(blue)(x^((1/30)