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Properties of Exponents

Properties. Exponents show repeated multiplication 34 = 3333 (-2)3 = -2 -2 -2 y2 = yy Mult x2 x4 ? add exp ? x6 also 4342 ? 45 Power to Power (x2)4 ?multiply exp? x6 Division x6 ? subtract ?x4 also 35 ? 33 x2

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Properties of Exponents

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    1. Properties of Exponents Simplifying (variables) & Evaluating (numbers)

    2. Properties Exponents show repeated multiplication 34 = 3·3·3·3 (-2)3 = -2· -2 · -2 y2 = y·y Mult x2· x4 ? add exp ? x6 also 43·42 ? 45 Power to Power (x2)4 ?multiply exp? x6 Division x6 ? subtract ?x4 also 35 ? 33 x2 32 a0 = 1 When exp is zero, answer is 1 Neg exp ?reciprocal?x -2?1 also 2 ? 2y3 x2 y -3

    3. Examples (evaluating) 5·53 ? 54 2 3 ? 23 ? 8 3 33 27 2 -3 ? 3 3 ? 27 3 2 8 You try… 1. 45 2. 1 -2 3. (20·62)3 4. 7-3·75 42 3

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