Question

Simplify:

`\sqrt[3]{a {}^(6) }`
​

Answer 1

`a^2`

Explanation:

`\sqrt[3]{a^6}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{(1)/(n)}\\\left(a^6\right)^{(1)/(3)}\\a^{6\cdot (1)/(3)}\\a^2`