Multiply and Divide Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying their coefficients and adding their exponents for like bases.

Front

Simplify: (-5a^3)^2 (3a^6b)^2

Back

225a^18b^2

Front

What is the rule for dividing monomials?

Back

When dividing monomials, divide the coefficients and subtract the exponents of like bases.

Front

Simplify: x^5y^3 / x^1y^2

Back

x^4y

Front

What is the result of multiplying a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial.

Front

Simplify: (2a^2)(3a^4)

Back

6a^6

Front

What happens to the exponents when you multiply monomials with the same base?

Back

You add the exponents of the like bases.

Front

Simplify: y^2 / y^5

Back

1/y^3

Front

What is the result of (x^3)^2?

Back

x^6