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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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Warm-Up. Homework Questions EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.

Warm-Up. Homework Questions EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.

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