Educator

Multiplying Monomials

• A monomial is a product of a number and zero or more variables. If there are no variables, the monomial is called a constant.

• A power is an expression of the form xⁿ, where n is a positive integer. The variable x is called the base and the number n is called the exponent.

• Recall from earlier work the laws of exponents: aⁿ· a^m = a^m+n, (a^m)ⁿ = a^mn, and

• (ab)^m = a^mb^m.

• An expression is considered to be in simplified form if each base is used exactly once, there are no powers of powers, and all fractions are in simplified form.

• You will often be asked to convert a given expression into simplified form.