Radical Expressions and Rational Exponents

Name ________________________________________ Date __________________ Class __________________

Radical Expressions and Rational Exponents

LESSON

11-1

Reteach Numerator → Power

m

an =

n

am

Denominator → Index Translate the expressions with rational exponents into radical expressions, then simplify. 3

Example

625 4 =

(

4

625

)

3

2

( −243 ) 5

Example

= 53 = 125

=

(

5

−243

)

2

= ( −3 ) = 9 2

Simplify the expressions. 3

2

2. ( −27 ) 3

1. 25 2 ________________________________________

3.

________________________________________

5

4

( −216 ) 3

4. (128 ) 5

________________________________________

________________________________________

Translate the radical expressions into expressions with rational exponents, then simplify. 2

Example

4

1

Example

42 = 4 4 = 4 2 = 2

9

3

69 = 6 3 = 63 = 216

Simplify the expressions.

5.

4

92

6.

________________________________________

7.

4

⎛ 1⎞ ⎜ 16 ⎟ ⎝ ⎠

4

78

________________________________________

3

8.

________________________________________

3

( −8)5

________________________________________

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