# How do you find the product 2y*9y^4?

Apr 20, 2017

$18 {y}^{5}$

#### Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{m} \times {a}^{n} = {a}^{\left(m + n\right)}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\Rightarrow 2 y \times 9 {y}^{4}$

$= 2 \times 9 \times {y}^{1} \times {y}^{4}$

$= 18 \times {y}^{\left(1 + 4\right)}$

$= 18 {y}^{5}$