# How do you simplify the expression (4a^2 * 5a)/(2a)?

##### 1 Answer
Jul 19, 2016

$10 {a}^{2}$

#### Explanation:

First let's simplify the numerator. Multiply the coefficients and the variables. Remember that ${a}^{b} \cdot {a}^{c} = {a}^{b + c}$.

$\frac{4 {a}^{2} \cdot 5 a}{2 a}$

$\frac{\left(4 {a}^{2}\right) \left(5 a\right)}{2 a}$

$\frac{20 {a}^{3}}{2 a}$

Now we can simplify by dividing out factors from the top and bottom. Also note that ${a}^{b} / {a}^{c} = {a}^{b - c}$.

$\frac{10 \cancel{20} {a}^{3}}{1 \cancel{2} a}$

$\frac{10 {a}^{3}}{a}$

$10 \cdot {a}^{3 - 1}$

$10 \cdot {a}^{2}$

$10 {a}^{2}$