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Powers with zero exponents: Powers with negative exponents: Let a be a nonzero number and let n be a positive integer. A nonzero number to the nonzero power is 1. Let a be a nonzero number and let n be a positive integer. a – n is the reciprocal of a n . a 0 1, a 0 a n Examples: 1 an Examples: 20 1 50 1 0 1 1 9 Anything to the zero power is equal to 1. 00 undefined 3 2 1 1 32 9 3-2 is the reciprocal of 32 1 2 4 4 4 16 2 4 The base must be a nonzero number. (-4)2 is the reciprocal of (-4)-2 Evaluating Exponential Expressions 5 4 * 5 4 5 4 4 Use product of powers property 50 Add the exponents 1 a0 is equal to 1 3 * 22 2 3 2 2 2 3*2 6 2*2*2*2*2*2 64 Use power of a power property Multiply the exponents. Evaluate power. 1 3 1 9*4 1 36 2 1 3 * 22 Use definition of negative exponents. Use power of a product property. *2 2 Evaluate powers Multiply. an sbl original ‘07