# How do you simplify (c^7d^3)/(c^3d^5)?

##### 1 Answer
Dec 23, 2016

${c}^{4} {d}^{-} 2$ or ${c}^{4} / {d}^{2}$

#### Explanation:

To simplify this there are two rules of exponents we can use:

$\textcolor{red}{{x}^{a} / {x}^{b} = {x}^{a - b}}$

and

$\textcolor{red}{{x}^{a} / {x}^{b} = \frac{1}{x} ^ \left(b - a\right)}$

So we can simplify this expression in one of two ways:

First simplification:

$\frac{{c}^{7} {d}^{3}}{{c}^{3} {d}^{5}} \to {c}^{7 - 3} {d}^{3 - 5} \to {c}^{4} {d}^{-} 2$

Second simplification:

$\frac{{c}^{7} {d}^{3}}{{c}^{3} {d}^{5}} \to {c}^{7 - 3} / {d}^{5 - 3} \to {c}^{4} / {d}^{2}$