1. copyright©amberpasillas2010

2. Talk to your partner: What is a general rule for the value of any number raised to the zero power: a 0 =

3. Simplify.

4. copyright©amberpasillas2010 You do NOT want to have negative exponents in your answer. An expression is NOT simplified when there is a negative exponent. Turn and Talk: What is a general rule for the value of any number to a negative power? a -x =

5. copyright©amberpasillas2010 MEMORIZE this saying…. “JUMP the LINE & CHANGE the EXPONENT’S SIGN”

6. copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

7. copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

8. copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

9. copyright©amberpasillas2010 Remember the saying…. “JUMP the LINE & CHANGE the EXPONENT’S SIGN” And think about the next slide….

10. copyright©amberpasillas2010 What if the negative exponent is in the denominator?

11. copyright©amberpasillas2010 Simplify. A negative exponent is an inverse! Flip the number over to make the exponent positive!

12. copyright©amberpasillas2010 Follow the Pattern! 2 10 3 4 5 100 1,000 10,000 100,000 1010 1 10 1 10 = 0.1 10 -2 1 1 10 2 1 100 = 0.01 10 -3 1 10 3 1 1000 = 0.001

13. copyright©amberpasillas2010 Zero Exponent: Negative Exponent:

14. copyright©amberpasillas2010 Simplify.

15. copyright©amberpasillas2010 Identity PropertyWhy It Works 3 2 3 -2 9 9 = 1 Any number to the zero power is ALWAYS ONE. x 0 = 1