1. Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power of a quotient, find the power of the numerator and the power of the denominator – Ex. Zero Exponent- any nonzero number raised to the zero power is 1. – Ex. (-0.25) 0 = 1 Negative exponent- For an nonzero number a and any integer n, a-n is the reciprocal of an. In addition the reciprocal of a-n is an. – Ex.

2. SimplifyAssume that x and y are not equal to zero. Quotient of Powers Group powers that have the same base. Answer: Simplify.

3. SimplifyAssume that e and f are not equal to zero. Power of a Quotient Power of a Product Power of a Power Answer:

4. SimplifyAssume that m and n are not equal to zero. Answer: 1

5. Simplify. Assume that m and n are not equal to zero. Simplify. Answer: Quotient of Powers

6. Simplify. Assume that y and z are not equal to zero. Write as a product of fractions. Answer: Multiply fractions.

7. Simplify. Assume that p, q, and r are not equal to zero. Group powers with the same base. Quotient of Powers and Negative Exponent Properties

8. Simplify. Multiply fractions. Answer: Negative Exponent Property

9. Simplify each expression. a. b. c. d.