Accompanying each property will be a quick example to

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Unformatted text preview: owed a to be zero we would have gotten division by zero. Here are a couple of quick examples for this definition, 5-2 = 1 1 = 2 5 25 ( -4 ) -3 = 1 ( -4 ) 3 = 1 1 =-64 64 Here are some of the main properties of integer exponents. Accompanying each property will be a quick example to illustrate its use. We will be looking at more complicated examples after the properties. Properties 1. a n a m = a n + m Example : a -9 a 4 = a -9 + 4 = a -5 2. (a ) 3. ì a n-m an ï =í 1 , a¹0 a m ï m-n îa a4 = a 4-11 = a -7 a11 Example : 4 1 1 a = 11- 4 = 7 = a -7 11 a a a 4. ( ab ) Example : ( ab ) nm n () = a nm Example : a 7 = a nb n n an æaö 5. ç ÷ = n , b ¹ 0 b èbø -n = a ( 7 )( 3) = a 21 -4 = a -4b -4 8 8 æaö a Example : ç ÷ = 8 èbø b n bn æbö =ç ÷ = n a èaø 3 10 b10 æbö = ç ÷ = 10 a èaø æaö ç÷ èbø 7. ( ab ) 8. 1 = an -n a Example : 9. a-n bm = b-m a n a -6 b17 Example : -17 = 6 b a -n = 1 ( ab ) © 2007 Paul Dawkins n æaö ÷ èbø -10 6. Example : ç Example : ( ab ) 3 -20 = 1 ( ab...
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