09/24 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.

Front

How do you multiply monomials?

Back

To multiply monomials, multiply the coefficients (numbers) and add the exponents of like bases.

Front

What is the product of (3c^2)(10c^7)?

Back

30c^9

Front

What is the product of (4a^2b^3)(5a^3b^2)?

Back

20a^5b^5

Front

What is the product of (3c^5)(12c^3)?

Back

36c^8

Front

What is the product of (-x^5)(y^3)?

Back

-x^5y^3

Front

What is the result of -2x(x^7 + 5)?

Back

-2x^8 - 10x

Front

What is the coefficient in the monomial 7x^3?

Back

The coefficient is 7.

Front

What happens to the exponents when multiplying like bases?

Back

You add the exponents.

Front

What is the degree of the monomial 4x^5y^2?

Back

The degree is 7 (5 + 2).