# How do you simplify (2^(1/4)*2^(1/3))^6?

Jul 25, 2016

=${x}^{\frac{7}{2}} = {\left(\sqrt{x}\right)}^{7}$

#### Explanation:

There are 2 laws of indices which apply here.

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

=${x}^{\left(\frac{7}{12}\right) \times \frac{6}{1}}$

=${x}^{\frac{7}{2}} = {\left(\sqrt{x}\right)}^{7}$