reviewexponents

reviewexponents - Review of Exponents and Radicals: (see...

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Review of Exponents and Radicals: (see page 967-970 in the text) Rules and definitions (x,y real numbers; m,n integers) examples 1. x 0 = 1 definition, for x 0 7 0 = 1 e 0 = 1 2. x ! n = 1 x n definition of negative exponents, x 0 5 ! 2 = 1 5 2 e ! 3 = 1 e 3 3. x m x n = x m + n product rule 2 3 2 5 = 2 8 e 4 e 3 = e 7 4. x m ( ) n = x mn power of a power rule 3 2 ( ) 5 = 3 10 e 3 ( ) 4 = e 12 5. x m x n = x m ! n quotient rule 2 7 2 2 = 2 5 e 6 e 2 = e 4 6. xy ( ) n = x n y n power of a product rule 3 2 3 5 = 3 7 e 3 e 4 = e 7 7. x y ! " # # $ % & & n = x n y n power of a quotient 2 3 ! " # $ % & 5 = 2 5 3 5 e 3 ! " # $ % & 2 = e 2 3 2 8. x 1 n = x n def., ( n 2 ) and (x > 0 or n is odd) (32) 1 5 = 32 5 = 2 e 1 3 = 3 9. x m n = x m n def. - ( n 2 ) and (x > 0 or n odd) (32) 2 5 = 32 5 ( ) 2 = 2 2 = 4 Notice that if x = -1 and n = 2, then the expression
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This note was uploaded on 12/11/2011 for the course MAC 1140 taught by Professor Kutter during the Fall '11 term at FSU.

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