Question

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

Answer 1

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

Explanation:

• As per property

`color(blue)(a^(m^(n ))=a ^((m*n))) = a^(mn)`

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)`