laws of exponentsOpt

# laws of exponentsOpt - 7 3 xyz z y x ( 29 = + + + 2 1 1 2 1...

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Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations are called the “Laws of Exponents” b x b = base x = exponent 100’s of free ppt’s from www.pptpoint.com library

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Laws of Exponents ( 29 ( 29 m n n m n m n m m m m mn n m m m m n m n m x x x then m n if b x x x then n m if a y x y x x x y x xy x x x - - + = = = = = = 1 , . 5 , . 5 . 4 . 3 . 2 . 1
Other Properties of Exponents 1 0 = x Any single number or variable is always to the first power ( 29 1 1 1 1 1 2 2 2 3 3 x x x a a = = = = x x 1 1 = -

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Basic Examples = 3 2 x x = + 3 2 x 5 x ( 29 = 3 4 x = 3 4 x 12 x ( 29 = 3 xy 3 3 y x
= 3 y x 3 3 y x = 4 7 x x = - 1 4 7 x 3 x = 7 5 x x = - 5 7 1 x 2 1 x Basic Examples

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More Examples = 4 3 7 2 a a ( 29 = + 4 3 7 2 a 7 14 a = - 2 3 2 2 8 5 r r r ( 29 = - + + 2 3 2 2 8 5 r 7 80 r - ( 29 = 3 3 xy = 3 3 3 3 y x 3 3 27 y x = 2 3 2 b a = 2 2 2 2 3 2 b a 2 2 9 4 b a ( 29 = 3 5 2 2 n m = 3 5 3 2 3 1 2 n m = 15 6 3 2 n m 15 6 8 n m = x x 2 8 4 = - 1 2 8 1 4 x 3 4 x = 5 3 3 9 z z = - 3 5 1 3 9 z = 2 1 3 x 2 3 x
More Examples = 2 2 3
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Unformatted text preview: 7 3 xyz z y x ( 29 = + + + 2 1 1 2 1 3 7 3 z y x 3 3 4 21 z y x ( 29 =- -3 2 2 3 8 xy xy xy ( 29 =- -+ + + + 3 1 2 1 1 1 2 3 8 y x 6 3 48 y x ( 29 ( 29 = 2 2 2 3 2 2 3 xy y x ( 29 ( 29 = 2 2 2 1 2 1 2 3 2 2 2 1 2 3 y x y x = 4 2 6 4 4 9 y x y x ( 29 = + + 4 6 2 4 4 9 y x 10 6 36 y x = 3 2 3 3 5 ab b a = 3 2 3 1 3 1 3 1 3 3 3 1 3 5 b a b a = 6 3 3 3 9 3 3 5 b a b a = 6 3 3 9 27 125 b a b a =--3 6 3 9 27 125 b a 3 6 27 125 b a...
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## This note was uploaded on 11/17/2011 for the course MATH 110 taught by Professor Staff during the Fall '08 term at BYU.

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laws of exponentsOpt - 7 3 xyz z y x ( 29 = + + + 2 1 1 2 1...

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