# How do you simplify (p^5r^4)(p^2r)?

Apr 8, 2018

Expression $= {p}^{7} {r}^{5}$

#### Explanation:

Here we will use the law of exponents: ${a}^{m} \times {a}^{n} = {a}^{m + n}$

Expression $= \left({p}^{5} {r}^{4}\right) \left({p}^{2} r\right)$

$= {p}^{5} \times {r}^{4} \times {p}^{2} \times {r}^{1}$

$= {p}^{5} \times {p}^{2} \times {r}^{4} \times {r}^{1}$

$= {p}^{5 + 2} \times {r}^{4 + 1}$

$= {p}^{7} {r}^{5}$