# How do you simplify m^4*2m^-3 and write it using only positive exponents?

Mar 8, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$2 \left({m}^{4} \cdot {m}^{-} 3\right)$

Next, use this rule of exponents to consolidate the $m$ terms:

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

$2 \left({m}^{\textcolor{red}{4}} \cdot {m}^{\textcolor{b l u e}{- 3}}\right) = 2 {m}^{\textcolor{red}{4} + \textcolor{b l u e}{- 3}} = 2 {m}^{1}$

Now, we can use this rule for exponents to complete the simplification:

${a}^{\textcolor{red}{1}} = a$

$2 {m}^{\textcolor{red}{1}} = 2 m$