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 their coefficients and adding the exponents of like variables.

Front

What is the product of 9xy² and 9x⁵y²?

Back

81x⁶y⁴.

Front

How do you simplify (-7y²)(5y⁴)?

Back

-35y⁶.

Front

What is the result of multiplying 3u⁴v⁵ and 7u²v³?

Back

21u⁶v⁸.

Front

What is the product of (-4a) and (3abc)?

Back

-12a²bc.

Front

What is the result of multiplying 7v³ and 10u³v⁵?

Back

70u³v⁸.

Front

What is the coefficient in the monomial 5x²y?

Back

The coefficient is 5.

Front

How do you multiply two monomials with the same base?

Back

You multiply the coefficients and add the exponents of the like bases.

Front

What is the result of multiplying x² and x⁴?

Back

x⁶.