# How do you simplify (13xy^22) ( -3y)?

May 7, 2015

The answer is $- 39 x {y}^{23}$.

Simplify $\left(13 x {y}^{22}\right) \left(- 3 y\right)$ .

Put like terms together.

$13 \times - 3 \times {y}^{22} y$

Apply the product rule to exponents. ${x}^{a} {x}^{b} = {x}^{a + b}$

$13 \times - 3 x {y}^{22 + 1}$ =

$13 \times - 3 x {y}^{23}$

Multiply 13 x -3.

$13 x {y}^{22} \times - 3$ =

$- 39 x {y}^{23}$