warm-up: replace the ? with a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7....
TRANSCRIPT
![Page 1: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/1.jpg)
Warm-up: Replace the ? With a number
1. 2 = 8?
3. 3 = 27
2. 2 = 25 6. 3 = 64
5. 2 = 144
8. 2 = 64
7. 5 = 125
4. 3 = 81
?
?
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? ?
?
?
3
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4
3
6
5
12
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![Page 2: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/2.jpg)
![Page 3: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/3.jpg)
HOME
WORK
![Page 4: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/4.jpg)
Convert from roots to exponentsEvaluate Rational exponents
![Page 5: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/5.jpg)
Roots and Exponential Notation
xm
n = x
x
mn
n( )m
![Page 6: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/6.jpg)
6443
= 6434
RootPower
Base
![Page 7: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/7.jpg)
Flower Power Root Rule
RootFlower/Power
932
Base
![Page 8: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/8.jpg)
Change from root notation to exponent notation:
12523
12523
n4
y7
( )5
n54
y72
58
518
![Page 9: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/9.jpg)
Change from exponent notation to root notation:
3235
3235
x9x92
y13 y
3
![Page 10: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/10.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
9 3 2
1. Take the Root
2. Use the Power
9 = 3
= 33 = 27= 27
![Page 11: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/11.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
8 5 3
1. Take the Root
2. Use the Power
= 2
= 25 = 32= 32
83
![Page 12: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/12.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
16 3 4
1. Take the Root
2. Use the Power
= 2
= 23 = 8= 8
164
![Page 13: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/13.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
8-2 3
1. Take the Root
2. Use the Power
3. If there is a negative exponent, take the reciprocal of your answer
83 = 2
= 22 = 4
= 1/4
= 1/4
![Page 14: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/14.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
25-3 2
1. Take the Root
2. Use the Power
3. If there is a negative exponent, take the reciprocal of your answer
25 = 5
= 53 = 125
= 1/125
= 1/125
![Page 15: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/15.jpg)
Flower Power Root Rule Steps
Root
Flower/Power
64-1 6
1. Take the Root
2. Use the Power
3. If there is a negative exponent, take the reciprocal of your answer
646 = 2
= 21 = 2
= 1/2
= 1/2
![Page 16: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/16.jpg)
Assignment: Complete both sides of handoutChapter 11 Rational exponents
worksheetChapter 11 quiz: this week Friday!Chapter 11 test: next week Friday!
![Page 17: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/17.jpg)
Quiz Answers
![Page 18: Warm-up: Replace the ? With a number 1. 2 = 8 ? 3. 3 = 27 2. 2 = 256. 3 = 64 5. 2 = 144 8. 2 = 64 7. 5 = 125 4. 3 = 81 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4](https://reader035.vdocuments.site/reader035/viewer/2022062407/56649f4e5503460f94c70207/html5/thumbnails/18.jpg)