1. Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions

2. Lesson 1 – Exponent Laws Unit 6: Exponential Functions x y “x” is the base and “y” is the exponent

3. Lesson 1 – Exponent Laws Unit 6: Exponential Functions To multiply powers with the same base, add the exponents. (x y )(x z ) = x y+z

4. Lesson 1 – Exponent Laws Unit 6: Exponential Functions

5. Lesson 1 – Exponent Laws Unit 6: Exponential Functions Any base to the exponent zero is equal to 1. (With the exception of zero as a base) x 0 = 1 Examples: a) y 0 b) 6 0 c) (7a 3 b -1 ) 0

6. Lesson 1 – Exponent Laws Unit 6: Exponential Functions To evaluate a power of a power, multiply the exponents (x m ) n = x mn Examples: a) (x 3 ) 2 b) (3 2 ) 4 c) (z 5 ) 2

7. Lesson 1 – Exponent Laws Unit 6: Exponential Functions To simplify the power of a product, apply the exponent to both numbers in the product. (xy) m = x m y m

8. Lesson 1 – Exponent Laws Unit 6: Exponential Functions

9. Lesson 1 – Exponent Laws Unit 6: Exponential Functions

10. Lesson 1 – Exponent Laws Unit 6: Exponential Functions Remember, the exponent applies only to the factor it is directly attached to unless there are parentheses. Examples: a) -3 2 b) (-3) 2

11. Lesson 1 – Exponent Laws Unit 6: Exponential Functions Simplify:

12. Lesson 1 – Exponent Laws Unit 6: Exponential Functions Practice  Pg. 166 #1-7  Handout