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5.1 Use Properties of Exponents

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Properties of Exponents Property NameDefinitionExample Product of Powersa m + a n = a m+n 5 3 + 5 -1 = 5 3 + (-1) = 5 2 Power of a Power Power of a Product Negative Exponent Zero Exponent Quotient of Powers Power of a Quotient

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Evaluate Numerical Expressions (ex) (-4 2 5 ) 2 (ex) 5 3 ÷ 5 7 (ex) 11 5 (ex) 4 2 3 4 11 8

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Use Scientific Notation Scientific Form (c × 10 n ) where 1 ≤ c ≤ 10 (Ex) (8.5 × 10 7 )(1.2 × 10 3 ) (8.5 × 1.2)(10 7 × 10 3 ) 10.2 × 10 10

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Challenge Problem (Ex) What is the simplified form of (x -3 y 3 ) 2 x 5 y 6 (a) x 11 (b) 1 (c) 1 (d) 1 x 11 x 6 y x 11 y

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CW/HW Page 333 (3,9,11,25,29,33,35,36)

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