Warm-upWrite as a rational exponent.

3 5

4

.3

25.2

16.1

y

x

Answers:

3

5

2

1

4

1

.3

)25(.2

)16(.1

y

x

Notes P3, Day 3: Cube Roots and Rational Exponents

• Definition of the Principal nth Root of a Real Number or RADICAL!!!!!!!!

ban N is called the index A is called

the Radicand

You must work out the radical first to see if it is possible. A negative sign under the radical will most likely give you an imaginary number!!!

Write as rational exponents and then simplify!!

• Ex 1: 272/3 Ex 2: 81-3/4

)16(:4:3 43 2 ExaEx

Write as radicals and then simplify!!

9327 223 27

1

3

1

81

1

81

133

44

3

3

22

3 aa 2164

1

YOU TRY:

• A. 4

5

125

B. 5 5)2(

4 125125

ANSWERS:

-2

Reducing the Index of a Radical

34

12

33

1

9

3

.2

.1

xx

xxx

Ex 5: Answer:

Ex 6:

YOU TRY:

9 3x

4 12x

12 84 yx 3 23

2

3

1

xyyx

Summary:

• What difference is there in simplifying

?55 4 43 3 and