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1 Algebra 2: Section 7.2 Properties of Rational Exponents (Day 1)

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2 Using Properties of Rational Exponents Same properties as last chapter See p.407 or notes from Section 6.1 for a summary of properties

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3 Simplifying Rational Exponents Use all properties of exponents All exponents must be positive Only one base occurs in each term (unless denominator has to be rationalized) Exponent of denominator must be a whole number (rationalized)

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4 Examples: Simplify

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6 Alternate Method

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7 Examples: Simplify

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8 Alternate Method

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9 Properties of Radicals

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10 Simplifying Radical Expressions All numbers under radical must be simplified No exponent under the radical larger than the root May be easier to change to rational exponents, simplify, then change back

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11 Examples: Simplify Alternate Method

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12 Examples: Simplify

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13 Examples: Simplify Alternate Method

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14 Homework P.411 #22-41 all

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3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

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