Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential...
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Transcript of Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential...
![Page 1: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/1.jpg)
Lesson 1 – Exponent Laws
30
Learning Goal
I can use the exponent laws to simplify exponential expressions
Unit 6: Exponential Functions
![Page 2: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/2.jpg)
Lesson 1 – Exponent Laws
Unit 6: Exponential Functions
xy
“x” is the base and “y” is the exponent
![Page 3: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/3.jpg)
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To multiply powers with the same base, add the exponents.
(xy)(xz) = xy+z
![Page 4: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/4.jpg)
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
To divide powers with the same base, subtract the exponents.
(xy)(xz) = xy-z
![Page 5: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/5.jpg)
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
![Page 6: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/6.jpg)
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
![Page 7: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/7.jpg)
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
![Page 8: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/8.jpg)
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
![Page 9: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/9.jpg)
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 =
![Page 10: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/10.jpg)
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
![Page 11: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/11.jpg)
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
4
43
225
3015
bacbaSimplify:
![Page 12: Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.](https://reader030.fdocuments.in/reader030/viewer/2022032606/56649e945503460f94b98f2e/html5/thumbnails/12.jpg)
Lesson 1 – Exponent LawsUnit 6: Exponential Functions
Practice
Pg. 166 #1-7 Handout