1. Objective- To solve problems involving negative exponents and zero exponents. A negative exponent is an inverse! x -1 = 1 x Scientific Calculator Reciprocal Key x -1 or 1/x1/x Simplify. 1) 2) 3) 4) 5) 6)

2. Follow the Pattern! = 3 3 3 = 3 = 3 = 1 = = =

3. Negative exponents follow rules of exponents. Rule of Common Bases x a = x b x a + b 3 4 = 3 -2 3 4 + -2 = 3 2 = 9 81 = 9

4. Negative exponents follow rules of exponents. Power to Power Rule ( ) x a = b x ab ( ) 2 3 = -2 2 3(-2) = 2 -6 = = ( ) 8 -2 = =

5. Simplify. 1) 2) 3) 4) 5) 6)

6. Simplify. 1) 2) 3) 4) 5) 6)

7. Simplify. Factor Explanation Negative Exponent Explanation 3 2 = 3 -2 3 2 + -2 = 3 0 = 1 9 9 = 1 1 For all real numbers x, except x = 0,

8. Negative Exponents in Denominator Evaluate. Simplify. 1) 2) 3) 4)