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

2.  To divide two powers that have the same base, subtract the exponents. b 15 ÷ b 7 = b 15-7 = b 8 Quotient of Powers

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

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

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

6. 1. 7 8 = 7 8-2 = 7 6 7 2 2. 6 -2 = 1 = 1 6 2 36 Examples

7. 3. 15b = 15 b 1-5 = 1 45b 5 45 3b 4 4. 3 -3 = 2 3 = 8 2 3 3 27 Examples