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Home > Documents > 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....

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....

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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 ? ? ? ? ? ? ? 3 3 4 3 6 5 12 4
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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.

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

?

?

?

? ?

?

?

3

3

4

3

6

5

12

4

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.
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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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