# How do you simplify  (-y^5)(y^2)?

Apr 8, 2018

$- {y}^{7}$

#### Explanation:

We can factor out the negative to make things look a bit nicer for the simplification of exponents.

$- \left({y}^{5}\right) \left({y}^{2}\right)$

Recall that ${x}^{a} {x}^{b} = {x}^{a + b}$. In other words, when multiplying terms with the same base and different exponents, you can combine everything into one term and add the exponents.

Then, we have

$- \left({y}^{5 + 2}\right) = - {y}^{7}$