# How do you find the product (5r^3)(4r^4)?

Jul 30, 2018

$20 {r}^{7}$

#### Explanation:

$\text{using the "color(blue)"law of exponents}$

•color(white)(x)a^mxxa^n=a^((m+n))

$5 {r}^{3} \times 4 {r}^{4}$

$= \left(5 \times 4\right) \times {r}^{\left(3 + 4\right)} = 20 {r}^{7}$

Jul 30, 2018

$20 {r}^{7}$

#### Explanation:

We can rewrite this as

$5 \cdot 4 \cdot {r}^{3} \cdot {r}^{4}$

This simplifies to

$20 \cdot \textcolor{b l u e}{{r}^{3} \cdot {r}^{4}}$

When we have the same base ($r$), we can just add the exponents. This simplifies to

$20 \textcolor{b l u e}{{r}^{7}}$

Hope this helps!