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Unformatted text preview: Supplementary Course Module A: Simplifying Numeric Expressions Assignment 2 & Powers Â¡ Roots Powers: & Exponents, or powers, represent the operation of repeated multiplication. examples: 6 2 = 6 Â¡ 6 = 36 (squaring), ( Â¢ 4) 3 = ( Â¢ 4) Â¡ ( Â¢ 4) Â¡ ( Â¢ 4) = Â¢ 64 (cubing) & In the &rst example above, the Â¡ 6 Â¢ is termed the base while the Â¡ 3 Â¢ is termed the exponent or power. The exponent is only applied to the base itself. examples: ( Â¢ 3) 2 = ( Â¢ 3) Â¡ ( Â¢ 3) = 9 , Â¢ 3 2 = Â¢ (3 Â¡ 3) = Â¢ 9 & Arithmetic operations involving exponents are summarized below: Rule Example 1. a m Â£ a n = a m + n 5 10 Â£ 5 4 = 5 10+4 = 5 14 2. a m a n = a m & n 5 10 5 4 = 5 10 & 4 = 5 6 3. ( a m ) n = a m Â¡ n & 5 10 Â¡ 4 = 5 10 Â¡ 4 = 5 40 4. a = 1 5 = 1 5. ( a Â£ b ) m = a m Â£ b m Â¢ a b Â£ m = a m b m (5 Â£ 8) 4 = 5 4 Â£ 8 4 6. Â¢ a b Â£ & n = Â¤ b a Â¥ n Â¤ 5 8 Â¥ & 3 = Â¤ 8 5 Â¥ 3 = 8 3 5 3 & rule #5 shows that exponentiation distributes over multiplication and division exponentiation does not distribute over addition and subtraction...
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This note was uploaded on 11/25/2010 for the course MATH MA110 taught by Professor Hu during the Spring '10 term at Wilfred Laurier University .
 Spring '10
 HU
 Exponents, Multiplication

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