# Simplify (5^4/4^6)^3?

Jul 22, 2017

${\left({5}^{4} / {4}^{6}\right)}^{3} = 0.0035527$

#### Explanation:

${\left({5}^{4} / {4}^{6}\right)}^{3}$

= ${\left({5}^{4}\right)}^{3} / {\left({\left({2}^{2}\right)}^{6}\right)}^{3}$

= ${5}^{4 \times 3} / {2}^{2 \times 2 \times 3}$

= ${5}^{12} / {2}^{36}$

and if you want to find it as a single number

${5}^{12} / {2}^{36} = \frac{244140625}{68719476736} = 0.0035527$