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Objective: Review exponents and the rules for exponents

Objective: Review exponents and the rules for exponents. Standard being met: 2.1.8 Numbers, Number Systems and Number Relations. Any number, except 0, with an exponent of 0 is equal to 1 . For example: 365 0 = 1 A negative base with an even exponent is positive .

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Objective: Review exponents and the rules for exponents

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  1. Objective: Review exponents and the rules for exponents Standard being met: 2.1.8 Numbers, Number Systems and Number Relations

  2. Any number, except 0, with an exponent of 0 is equal to 1. For example: 3650 = 1 A negative base with an even exponent is positive. For example: (-2)4 = 16 A negative base with an odd exponent is negative. For example: (-3)3 = -27

  3. Rules of Exponents Multiplication When the bases are the same, you add the exponents when your multiplying the numbers with exponents. For example: 32 35 37 Division When the bases are the same and you are dividing numbers with exponents, you subtract the exponents. For example:

  4. Ex.1 Simplify. a.) 25 (24) 29 b.) 26-1 = 25 c.) (-10)2

  5. Power of Powers For any real number a and integers m and n , (am)n =amn For example: (43)5 = 415 Negative Exponents For any nonzero real number a and any integer n, a-n = . For example: 2-3 = = Or

  6. Ex. 2 Simplify. a.) (32)3 36 =729 b.) (22)3 26 64 c.) 3-3 d.)

  7. DO page 131 even.

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