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

How do you multiply monomials?

Back

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

Front

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

Back

48m^5

Front

What is the product of n^3 and n^3?

Back

n^6 (add the exponents: 3 + 3 = 6).

Front

What is the product of 9xy^2 and 9x^5y^2?

Back

81x^6y^4 (multiply coefficients: 9*9=81; add exponents: x^1+x^5 and y^2+y^2).

Front

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

Back

80x^6y^6 (multiply coefficients: 10*8=80; add exponents: x^1+x^5 and y^3+y^3).

Front

What is the product of 7u^2v^5 and 9uv^3?

Back

63u^3v^8 (multiply coefficients: 7*9=63; add exponents: u^2+u^1 and v^5+v^3).

Front

What is the product of 7v^3 and 10u^3v^5?

Back

70u^3v^8 (multiply coefficients: 7*10=70; add exponents: u^0+u^3 and v^3+v^5).

Front

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

Back

The exponents are added together.

Front

What is the coefficient in the monomial 5x^2y?

Back

The coefficient is 5.