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Dividing Monomials

Learn the rules of dividing monomials, calculating quotients of powers, and understanding zero and negative exponents. Get examples and practice exercises to enhance your skills in manipulating powers.

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Dividing Monomials

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  1. Dividing Monomials Chapter 8-2 S. Calahan 2008

  2. Quotient of Powers To divide two powers that have the same base, subtract the exponents. b15÷ b7 = b15-7 = b8

  3. Power of a Quotient Find the power of the numerator and the power of the denominator. 3 5 = 35 = 243 4 45 1024

  4. Zero exponent Any nonzero number raised to the zero power is 1. (-0.25)0 = 1

  5. Negative Exponents For any nonzero number a and any integer n, a-n is the reciprocal of an. In addition, the reciprocal of a-n is an. 5-2 = 1= 1 52 25

  6. Examples 1. 78 = 78-2 = 76 72 2. 6-2 = 1 = 1 62 36

  7. Examples 3. 15b = 15 b1-5 = 1 45b5 45 3b4 4. 3 -3 = 23 = 8 2 33 27

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