2. Course 3 4-2 Look for a Pattern in Integer Exponents Lesson 7-1 Negative & Zero

3. Course 3 4-2 Look for a Pattern in Integer Exponents Your Goal: Simplify expressions containing integer exponents.

4. Course 3 4-2 Look for a Pattern in Integer Exponents Zero Power The zero power of any number except 0 equals 1. 100 = 0 (-5) = 0

5. Course 3 4-2 Look for a Pattern in Integer Exponents 24 0 19 0 Now You Try: Evaluate. 1. 10 0 2. 175 0 3. 10,347 0 4.

6. Course 3 4-2 Look for a Pattern in Integer Exponents Negative Exponents Any number or variable (except 0) with a negative exponent means move that number or variable to the opposite place of the fraction. 5 = -3

7. Course 3 4-2 Look for a Pattern in Integer Exponents 1. 5 –3 Evaluating Negative Exponents

8. Course 3 4-2 Look for a Pattern in Integer Exponents 2. (–10) –3 Evaluating Negative Exponents Evaluate.

9. Course 3 4-2 Look for a Pattern in Integer Exponents 3. 4 –2 Try this one: Evaluate.

10. Course 3 4-2 Look for a Pattern in Integer Exponents 4. Evaluate 5x –4 How would you solve this one?

11. Course 3 4-2 Look for a Pattern in Integer Exponents 5. Evaluate 1/x –3 How would you solve this one? The x has a negative exponent so move it from the bottom of the fraction to the top.

12. Course 3 4-2 Look for a Pattern in Integer Exponents

13. Course 3 4-2 Look for a Pattern in Integer Exponents Now You Try: Evaluate. 6. 7. 8.

14. Course 3 4-2 Look for a Pattern in Integer Exponents Negative Exponents (MOVE IT MOVE IT!): Any number except 0 with a negative exponent equals its reciprocal with the opposite exponent (If it’s on top, put it on bottom of the fraction. If it’s on bottom, put it on top of the fraction.) Zero Power: The zero power of any number except 0 equals 1.