How do you simplify root3(128x^6)?

Sep 27, 2015

$4 {x}^{2} \cdot {2}^{\frac{1}{3}}$

Explanation:

Written in exponent form it is ${\left(128 {x}^{6}\right)}^{\frac{1}{3}}$

= ${\left({2}^{7} {x}^{6}\right)}^{\frac{1}{3}}$

=${2}^{\frac{6}{3}} \cdot {2}^{\frac{1}{3}} \cdot {x}^{\frac{6}{3}}$

=${2}^{2} \cdot {2}^{\frac{1}{3}} \cdot {x}^{2}$

= $4 {x}^{2} \cdot {2}^{\frac{1}{3}}$