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

Jul 4, 2017

$32$

Explanation:

We can simplify this by using prime factors for the bases.

${\textcolor{b l u e}{4}}^{2} \times {\textcolor{b l u e}{4}}^{\frac{1}{2}}$

$= {\left(\textcolor{b l u e}{{2}^{2}}\right)}^{2} \times {\left(\textcolor{b l u e}{{2}^{2}}\right)}^{\frac{1}{2}} \text{ } \leftarrow$ multiply the indices

$= {2}^{4} \times {2}^{1}$

$= {2}^{5}$

$= 32$