# How do you simplify  (-4y^3)(½y)?

May 1, 2017

$- 2 {y}^{4}$

#### Explanation:

The two brackets mean that the factors are all multiplied.

Multiply the signs, then the numbers, then the variables.

$\left(\textcolor{b l u e}{-} \textcolor{red}{4} \textcolor{g r e e n}{{y}^{3}}\right) \times \left(\textcolor{b l u e}{+} \textcolor{red}{\frac{1}{2}} \textcolor{g r e e n}{y}\right)$

$= \textcolor{b l u e}{-} \textcolor{red}{\left(4 \times \frac{1}{2}\right)} \left(\textcolor{g r e e n}{{y}^{3} \times y}\right) \text{ } \leftarrow$ add indices of like bases.

color(blue)(-color(red)(2)color(green)(y^4)