CONVERTING BETWEEN RADICAL FORM AND EXPONENTIAL FORM WORKSHEET

Write each expression in radical form.

Problem 1 :

71/2

Solution

Problem 2 :

44/3

Solution

Problem 3 :

25/3

Solution

Problem 4 :

74/3

Solution

Problem 5 :

63/2

Solution

Problem 6 :

21/6

Solution

Write each expression in exponential form.

Problem 7 :

(√10)3

Solution

Problem 8 :     

6√2 

Solution

Problem 9 :

(∜2)5

Solution

Problem 10 :

(∜5)5

Solution

Problem 11 :

∛2

Solution

Problem 12 : 

6√10

Solution

Problem 13 :

(5x)-5/4

Solution

Problem 14 :

(5x)-1/2

Solution

Problem 15 :

(10n)3/2

Solution

Problem 16 :

a6/5

Solution

Answer Key

1)  √7

2) 4∛4

3)  2 ∛4

4)  7 ∛7

5)  6√6

6) 6√2

7)  (10)3/2.

8)   (2)1/6

9)   (2)5/4

10)  (5)5/4

11)   (2)1/3

12)  (10)1/6

13)  1/∜(5x)5

14)  1/√(5x)

15)  10n√(10n)

16)   5√a6

rational-exponents-and-radicals

Solution

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