CONVERTING BETWEEN RADICAL AND EXPONENTIAL WORKSHEET

Convert the radical form to exponential form :

(1)  (5√x)3

(2)  (3√y4)

(3)  (√x5)

(4)  (3√5)3

(5)  √(16x2)

(6)  1/(√(6x))3

(7)  1/(4√x)7

(8)  1/√(5x)

Solution

Answers

(1)  x3/5

(2)  y4/3

(3)  x5/2

(4)  5

(5)  4x

(6)  (6x)-3/2

(7)  x-7/4

(8) (5x)-1/2

Write each expression in radical form :

(1)  m3/5

(2)  (10x)-3/4

(3)  (7x)3/2

(4)  (6b)-4/3

(5)  82/3

(6)  100-3/2

Solution

Answers

(1)  5√m3

(2)  1/4√(10x)3

(3)  7x√(7x)

(4)   1/(6b 3√6b)

(5)  4

(6) 1/1000

Evaluate the following :

(1)  811/2

(2)  163/2

(3)  100003/4

(4)  642/3

(5)  272/3

(6)  81-3/2

(7)  If c2/5 = 4, then c = ?

(8)  274/x = 81, x = ?

(9)  201/2 ⋅ 201/2

(10)  51/3 ⋅ 251/3

Solution

Answers

(1)  9

(2) 64

(3) 1000

(4)  16

(5)  9

(6)  1/729

(7) 32

(8) x = 3

(9)  20

(10)  5 

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