A2notes - Supplementary Course Module A Simplifying Numeric...

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Unformatted text preview: Supplementary Course Module A: Simplifying Numeric Expressions Assignment 2 & Powers ¡ Roots Powers: & Exponents, or powers, represent the operation of repeated multiplication. examples: 6 2 = 6 ¡ 6 = 36 (squaring), ( ¢ 4) 3 = ( ¢ 4) ¡ ( ¢ 4) ¡ ( ¢ 4) = ¢ 64 (cubing) & In the &rst example above, the ¡ 6 ¢ is termed the base while the ¡ 3 ¢ is termed the exponent or power. The exponent is only applied to the base itself. examples: ( ¢ 3) 2 = ( ¢ 3) ¡ ( ¢ 3) = 9 , ¢ 3 2 = ¢ (3 ¡ 3) = ¢ 9 & Arithmetic operations involving exponents are summarized below: Rule Example 1. a m £ a n = a m + n 5 10 £ 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 ¡ n & 5 10 ¡ 4 = 5 10 ¡ 4 = 5 40 4. a = 1 5 = 1 5. ( a £ b ) m = a m £ b m ¢ a b £ m = a m b m (5 £ 8) 4 = 5 4 £ 8 4 6. ¢ a b £ & n = ¤ b a ¥ n ¤ 5 8 ¥ & 3 = ¤ 8 5 ¥ 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 .

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A2notes - Supplementary Course Module A Simplifying Numeric...

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