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 = 25 6. 3 = 64

5. 2 = 144

8. 2 = 64

7. 5 = 125

4. 3 = 81

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Convert from roots to exponentsEvaluate Rational exponents

Roots and Exponential Notation

xm

n = x

x

mn

n( )m

6443

= 6434

RootPower

Base

Flower Power Root Rule

RootFlower/Power

932

Base

Change from root notation to exponent notation:

12523

12523

n4

y7

( )5

n54

y72

58

518

Change from exponent notation to root notation:

3235

3235

x9x92

y13 y

3

Flower Power Root Rule Steps

Root

Flower/Power

9 3 2

1. Take the Root

2. Use the Power

9 = 3

= 33 = 27= 27

Flower Power Root Rule Steps

Root

Flower/Power

8 5 3

1. Take the Root

2. Use the Power

= 2

= 25 = 32= 32

83

Flower Power Root Rule Steps

Root

Flower/Power

16 3 4

1. Take the Root

2. Use the Power

= 2

= 23 = 8= 8

164

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

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

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

Assignment: Complete both sides of handoutChapter 11 Rational exponents

worksheetChapter 11 quiz: this week Friday!Chapter 11 test: next week Friday!

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