# How do you simplify 2m^2xx4m^(3/2)xx4m^(-2)?

Apr 9, 2017

$32 {m}^{\frac{3}{2}}$

#### Explanation:

Split the numbers from the variables giving:

$2 \times 4 \times 4 \text{ } \times {m}^{2} \times {m}^{\frac{3}{2}} \times {m}^{- 2}$

$32 \text{ } \times {m}^{2 + \frac{3}{2} - 2}$

$32 {m}^{\frac{3}{2}}$