Transcription of Laws of Exponents
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Laws of Exponents
PRIMARY CONTENT MODULE INUMBER SENSE: Exponents /Powers and RootsT-9 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATIONLaws of ExponentsAddition of ExponentsIf:a 0,a m a n = a m+nExample:23 22=(2 2 2) (2 2)=2 2 2 2 2=25=23+231 35=?PRIMARY CONTENT MODULE INUMBER SENSE: Exponents /Powers and RootsT-10 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATIONA nother Example For Negative Exponents2-3 2-2=123 122 ==123 22=123+2=125=2-5=2-3+-23-1 3-4=?PRIMARY CONTENT MODULE INUMBER SENSE: Exponents /Powers and RootsT-11 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATIONS till More Examples23 2-2=23+( 2)=21=2 Why?23 2-2=23 122=2322=2 2 22 2=2 22 2 2=1 2 = 2 = 21 PRIMARY CONTENT MODULE INUMBER SENSE: Exponents /Powers and RootsT-12 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATIONMore ExponentsIf a 0 aman = am-nExample:2723=2 2 2 2 2 2 22 2 2=2 2 22 2 2 2 2 2 2=1 24=24 (=16)So,2723=27-3 = 24 PRIMARY CONTENT MODULE INUMBER SENSE: Exponents /Powers and RootsT-13 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATIONMore ExponentsExample:3235=3 33 3 3 3 3=3 33 3 13 3 3=1 133=3-3 =133=127 So,3235=32-5 = 3-3 Example:4545=4 4 4 4 44 4 4 4 4=1So,4545=45-5=40 =
PRIMARY CONTENT MODULE I NUMBER SENSE: Exponents/Powers and Roots T-10 © 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATION
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