Multiplying Monomials

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.

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

48m^5

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

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

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

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

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

The exponents are added together.

The coefficient is 5.