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Rules for Exponents One as an Exponent: Anything to the power of one is itself. a1 a Product to Power: When raising a product to a power, raise each factor to the power. 3b2 9b2 abm a mb m 51 5 Quotient to Power: When raising a quotient to a Zero as an Exponent: Anything to the power of zero power, raise the numerator and denominator to the is one. power. m a0 1 3650 1 Product Rule: When multiplying expressions with like bases add the exponents. a a a m n m n 2 2 2 256 3 5 8 Power Rule: When taking a power to a power multiply the exponents. a m n a mn Tri-County Technical College 3 2 3 3 am a m b b 23 8 2 3 5 125 5 Quotient Rule: When dividing expressions with like base subtract the exponents. am a mn n a 610 6 2 36 8 6 Negative Exponents: When getting rid of negative exponents switch places. 3 729 6 a May 2006 n 1 n a 8 2 1 1 2 8 64 1 42 16 4 2 1 Created by Tonia Faulling