# How do you simplify (5^(1/3))^6?

Jul 22, 2016

${5}^{\frac{1}{3} \times \frac{6}{1}} = {5}^{2} = 25$

#### Explanation:

The power law of indices states:

${\left({x}^{m}\right)}^{n} = {x}^{m n}$

When raising a power to another power, multiply the indices.

This is exactly what we have here.

${5}^{\frac{1}{3} \times \frac{6}{1}} = {5}^{2} = 25$

Jul 22, 2016

$25$

#### Explanation:

${\left({a}^{b}\right)}^{c} = {a}^{b \cdot c}$



Use the concept above to simplify the value.

${\left({5}^{\frac{1}{3}}\right)}^{6}$

$= {5}^{\left(\frac{1}{3} \cdot 6\right)}$

$= {5}^{\frac{6}{3}}$

$= {5}^{2}$

Now square $5$.

$= 25$