# How do you simplify (y/x^4)^3?

Jun 8, 2017

${\left(\frac{y}{x} ^ 4\right)}^{3} = {y}^{3} / {x}^{12}$

#### Explanation:

We can use the formulas ${\left(\frac{a}{b}\right)}^{m} = {a}^{m} / {b}^{m}$ and ${\left({a}^{m}\right)}^{n} = {a}^{m n}$

Hence, ${\left(\frac{y}{x} ^ 4\right)}^{3}$

= ${y}^{3} / {\left({x}^{4}\right)}^{3}$

= ${y}^{3} / {x}^{4 \times 3}$

= ${y}^{3} / {x}^{12}$