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 with non-negative integer exponents.

Front

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying their coefficients and adding their exponents when the bases are the same.

Front

What is the product of 2n^4 and 6n^4?

Back

12n^8

Front

What is the product of 6k^2 and k?

Back

6k^3

Front

What is the product of 6x^2 and 6x^3y^4?

Back

36x^5y^4

Front

What is the product of 6m^3n^3 and 8m^2n^3?

Back

48m^5n^6

Front

What is the product of 10xy^3 and 8x^5y^3?

Back

80x^6y^6

Front

How do you multiply coefficients in monomials?

Back

You multiply the numerical coefficients directly.

Front

How do you handle exponents when multiplying monomials with the same base?

Back

You add the exponents together.

Front

What is the coefficient in the monomial 5x^3?

Back

The coefficient is 5.