Multiply and Simplify Monomials

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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 mx 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