# Multiplying monomials review

CCSS Math: HSA.APR.A.1

A monomial is a polynomial with just one term. For example, 2a^5 is a monomial. This article reviews how to multiply monomials (e.g., 2a^5 * 3a^2 = 6a^7).

A monomial is a polynomial with just one term, like $2x$ or $7y$. Multiplying monomials is a foundational skill for being able to multiply binomials and polynomials more generally, so it's good to review a few examples.

### Example 1

**Simplify.**

When a number is next to a variable, it means they are multiplied. So,

is the same as

$(\blueD{-4})(\maroonD{x^2})(\blueD{7})(\maroonD{x^3})$.

Now we can rearrange the factors because multiplication is

*commutative*(a fancy way of saying that the order in which we multiply things doesn't matter).Then simplify, and we're done!

### Example 2

**Simplify.**

When a number is next to a variable, it means they are multiplied. So,

is the same as

$(\blueD{-8})(\maroonD{a^2})(\blueD{-5})(\maroonD{a^6})$.

Now we can rearrange the factors because multiplication is

*commutative*(a fancy way of saying that the order in which we multiply things doesn't matter).Then simplify, and we're done!

*Want to see another example? Check out this video.*