# How do you simplify (2^4)^3 and write it using only positive exponents?

Aug 4, 2017

${2}^{12}$

#### Explanation:

•color(white)(x)a^mxxa^n=a^((m+n))

${\left({2}^{4}\right)}^{3} = {2}^{4} \times {2}^{4} \times {2}^{4} = {2}^{\left(4 + 4 + 4\right)} = {2}^{12}$

$\text{note } {\left({2}^{4}\right)}^{3} = {2}^{\left(4 \times 3\right)} = {2}^{12}$