How to multiply monomials? Unlimited practice to understand and learn the skills in mutliplying and simplifying monomials. Examples are randomly generated , when you click on the blue buttons, and solved step by step so that the process is firmly understood.

The rule of exponent x^{ m}x^{ n} = x^{ m+n} will be used to simplify monomials in the examples below.

Multiply Monomials with One Variable

Question: Multiply and Simplify the Monomials

STEP 1: Identify the Coefficient of Each Monomial (shown in red)

STEP 2: Use Commutatitvity and Associativity to Rewrite Multiplication so that Coefficients are Together and Variables are Together

STEP 3: Multiply Coefficients and Variables and Simplify Using Exponent Rule Shown Above

STEP 4: Rewrite Result Without Parentheses

Multiply Monomials with Two Variables

Question: Multiply and Simplify the Monomials

STEP 1: Identify the Coefficient of Each Monomial (shown in red)

STEP 2: Use Commutatitvity and Associativity to Rewrite Multiplication so that Coefficients are Together and Variables are Together

STEP 3: Rewrite Multiplication so that Same Variables are Together

STEP 4: Multiply Coefficients, Simplify Using Exponent Rule Shown Above and Rewrite Results Without Parentheses