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Dividing Monomials How Do We Divide When Exponents are Involved?. As you've seen in the prior lessons, when we work with monomials, we see a lot of exponents. You've discovered the laws of exponents and the properties for multiplying exponents, but what happens when we divide?
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The simplest form of the monomial would be 26a 2 b 4. Powers of Monomials: If a monomial is raised to a power, it can be simplified with a single exponent. For example, (2x 3) 2 actually means 2x 3 ∙2x 3, or 4x 6. Similarly, (3y 2 z) 4 can be simplified as (3 4)(y 2) 4 (z 4) or 81y 8 z 4. The general rule in algebraic terms is that (x a) b means x ab. Dividing monomials deals with the problems of dividing monomial expressions. Monomial expression is an expression consists of single term. Dividing monomials is the basic concept on dividing polynomials.