lesson 1 – exponent laws 30 learning goal i can use the exponent laws to simplify exponential...
TRANSCRIPT
Lesson 1 – Exponent Laws
30
Learning Goal
I can use the exponent laws to simplify exponential expressions
Unit 6: Exponential Functions
Lesson 1 – Exponent Laws
Unit 6: Exponential Functions
xy
“x” is the base and “y” is the exponent
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To multiply powers with the same base, add the exponents.
(xy)(xz) = xy+z
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To divide powers with the same base, subtract the exponents.
(xy)(xz) = xy-z
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
Any base to the exponent zero is equal to 1. (With the exception of zero as a base)
x0 = 1
Examples:
a) y0 b) 60 c) (7a3b-1)0
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To evaluate a power of a power, multiply the exponents
(xm)n = xmn
Examples:
a) (x3)2 b) (32)4 c) (z5)2
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To simplify the power of a product, apply the exponent to both numbers in the product.
(xy)m = xmym
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
When simplifying a negative exponent, convert the base into a fraction (if it is not already), flip it, and make the exponent positive.
x-m = = xm =
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
Remember, the exponent applies only to the factor it is directly attached to unless there are parentheses.
Examples:
a) -32 b) (-3)2
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
4
43
225
3015
bacbaSimplify:
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
Practice
Pg. 166 #1-7 Handout