How do you simplify (2^3•(2^4)^4 )/2^3?

Jul 30, 2016

${2}^{16}$

Explanation:

There is very little simplifying to be done:

$\frac{{2}^{3} \times {\left({2}^{4}\right)}^{4}}{2} ^ 3$

=$\frac{{\cancel{2}}^{3} \times {\left({2}^{4}\right)}^{4}}{\cancel{2}} ^ 3 \text{ cancel same factors}$

${\left({2}^{4}\right)}^{4} = {2}^{16} \text{ } {\left({x}^{m}\right)}^{n} = {x}^{m n}$

This is best left in index form.