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8-2 Dividing Monomials Objectives Students will be able to: 1)Simplify expressions involving the quotient of monomials 2)Simplify expressions containing negative exponents

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Let’s discover the rule for dividing monomials. Write out the following quotients in expanded form. Then simplify. See if you can discover a rule.

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Rules for Dividing Monomials Quotient of Powers: when dividing two powers with the same base, subtract the exponents Power of a Quotient: when a quotient is raised to a power, raise both the numerator and denominator to that power

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Simplify the quotient. 1) 2) 3)

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4)5) 6)

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Try these. 7)8) 9)10)

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Negative Exponents An expression is not simplified if it contains negative exponents. Simplify this expression by first writing it out in expanded form:

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When a term in the numerator contains a negative exponent, bring that term down to the denominator to make the exponent positive. When a term in the denominator contains a negative exponent, bring that term up to the numerator to make the exponent positive.

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Simplify. 1)2) 3)4)

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5)6)

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Try these. 7)8) 9)10)

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11)12)

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Try these. 13)14)

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Let’s look at what we would do when an entire quotient is raised to a negative exponent… When an entire quotient is raised to a negative exponent, take the reciprocal of the fraction and then change the exponent to a positive.

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Simplify. 1) 2)

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3)

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Try these. 4)5)

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