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Simplifying with Rational Exponents Section 6-1/2

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Rational Exponents Property For any real number b and integers m, n with n > 1, then

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Exponent Properties Review Product Rule: x 3 x 6 = x 9 Quotient Rule: Power Rule: (x 2 ) 3 = x 6 Negative Exponent Rule:

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Simplify with rational exponents means: Lowest possible Base No negative exponents No fractional exponents in denominator

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To Simplify Use powers to substitute into the original base (see below)

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To Simplify Use powers to substitute into the original base (see below)

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To Simplify Use powers to substitute into the original base (see below)

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Simplifying Negative Exponents

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No Fractional Exponents in Denominator You cannot have a fractional exponent in the denominator of a simplified expression. To get rid of the fraction we RATIONALIZE (see below)

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Simplify y -5/6.

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Homework Worksheet 8-3

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