# How do you multiply 5mn(7m-2n)?

Mar 13, 2018

See a solution process below:

#### Explanation:

Multiply each term within the parenthesis by the term outside the parenthesis. Use these rules for exponents:

$a = {a}^{\textcolor{red}{1}}$ and ${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$\textcolor{red}{5 m n} \left(7 m - 2 n\right) \implies$

$\left(\textcolor{red}{5 m n} \times 7 m\right) - \left(\textcolor{red}{5 m n} \times 2 n\right) \implies$

$\left(\textcolor{red}{5 {m}^{1} n} \times 7 {m}^{1}\right) - \left(\textcolor{red}{5 m {n}^{1}} \times 2 {n}^{1}\right) \implies$

$35 {m}^{1 + 1} n - 10 m {n}^{1 + 1} \implies$

$35 {m}^{2} n - 10 m {n}^{2}$