{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

laws of exponentsOpt

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

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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
Background image of page 2
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 = -
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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
Background image of page 4
= 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
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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
Background image of page 6
More Examples = 2 2 3 7
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}