# How do you simplify 8^(1/7)+2(8^(1/7))?

Feb 18, 2017

$3 \left({2}^{\frac{3}{7}}\right)$

#### Explanation:

Change $8$ to ${2}^{3}$: ${\left({2}^{3}\right)}^{\frac{1}{7}} + 2 \left({\left({2}^{3}\right)}^{\frac{1}{7}}\right)$

Use the exponent multiplication rule: ${\left({a}^{m}\right)}^{n} = {a}^{m \cdot n}$:

${2}^{\frac{3}{7}} + 2 \left({2}^{\frac{3}{7}}\right)$

Factor:

${2}^{\frac{3}{7}} \left(1 + 2\right) = 3 \left({2}^{\frac{3}{7}}\right)$