MONOMIAL MULTIPLICATION & DIVISION We added and subtracted monomials in the last section. It is time to multiply and divide monomials.

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Presentation transcript:

MONOMIAL MULTIPLICATION & DIVISION We added and subtracted monomials in the last section. It is time to multiply and divide monomials.

MONOMIAL MULTIPLICATION & DIVISION We added and subtracted monomials in the last section. It is time to multiply and divide monomials. But before we do that, we need to cover the rules for multiplication and division of like variables.

MONOMIAL MULTIPLICATION & DIVISION We added and subtracted monomials in the last section. It is time to multiply and divide monomials. But before we do that, we need to cover the rules for multiplication and division of like variables. RULE : when multiplying like variables, you ADD their exponents.

MONOMIAL MULTIPLICATION & DIVISION

NOTE : variables that have no exponents listed have an assumed 1 to be their exponent. It is not necessary to write the 1. However, if it helps you remember it is there, go ahead and write it. 1

MONOMIAL MULTIPLICATION & DIVISION 1

1

RULE : when dividing like variables, you subtract their exponents.

MONOMIAL MULTIPLICATION & DIVISION RULE : when dividing like variables, you subtract their exponents. Dividing LIKE variables also affects their exponents…

MONOMIAL MULTIPLICATION & DIVISION

Breaking down the problem into smaller “mini” problems helps when simplifying…

MONOMIAL MULTIPLICATION & DIVISION Breaking down the problem into smaller “mini” problems helps when simplifying… Rewrite the problem with all coefficients together and all like variables…

MONOMIAL MULTIPLICATION & DIVISION Breaking down the problem into smaller “mini” problems helps when simplifying… Rewrite the problem with all coefficients together and all like variables… Multiply any #’s and apply the proper RULE…

MONOMIAL MULTIPLICATION & DIVISION Breaking down the problem into smaller “mini” problems helps when simplifying… Rewrite the problem with all coefficients together and all like variables… Multiply any #’s and apply the proper RULE… Write your answer…

MONOMIAL MULTIPLICATION & DIVISION

Rewrite …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … multiply any #’s and apply rule …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … multiply any #’s and apply rule … get your final answer

MONOMIAL MULTIPLICATION & DIVISION

Rewrite …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … divide any #’s and apply rule …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … divide any #’s and apply rule … get your answer

MONOMIAL MULTIPLICATION & DIVISION

Rewrite …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … simplify fraction and apply rule …

MONOMIAL MULTIPLICATION & DIVISION Rewrite … simplify fraction and apply rule … get your answer

MONOMIAL MULTIPLICATION & DIVISION NOTE : When dividing LIKE variables and subtracting exponents, it is possible to get a zero as the result of the exponent subtraction. When that happens, there is a rule that anything to the zero power = 1.

MONOMIAL MULTIPLICATION & DIVISION

That is why the “cancelling” works, anything divided by itself = 1 ( mind blown ? )