Multiplying 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 the coefficients (numerical parts) and adding the exponents of like bases.

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^{13}

Front

Simplify: n^2 \cdot n \cdot n^5

Back

n^{8}

Front

Simplify: b^2 \cdot b^4

Back

b^{6}

Front

Simplify: (x^3y^2)(xy^4)

Back

x^{4}y^{6}

Front

Simplify: (-2x^3y^2)(5xy^4)

Back

-10x^{4}y^{6}

Front

What is the product of two monomials?

Back

The product of two monomials is found by multiplying their coefficients and adding the exponents of like bases.

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial.

Front

What happens to the exponents when multiplying monomials with the same base?

Back

When multiplying monomials with the same base, you add the exponents.