# CONVERTING BETWEEN RADICAL FORM TO EXPONENTIAL FORM

## Conversion between radical to exponential form

To convert the radical to exponential form, we follow the rules given below.

Writing expressions in rational exponential form :

Problem 1 :

(√5)3

Solution :

Since it is square root, we have to write 1/2 as exponent.

When we have power raised to another power, we can multiply the powers.

Problem 2 :

(∜4)2

Solution :

Since it is fourth root, we have to write 1/4 as exponent.

When we have power raised to another power, we can multiply the powers.

Problem 3 :

(∛9)2

Solution :

(∛9)2

Problem 4 :

(5th root of 10)4

Solution :

(5th root of 10)4

Problem 5 :

(√15)3

Solution :

(√15)3

Problem 6 :

(∛27)4

Solution :

(∛27)4

Simplify the following :

Problem 7 :

(∛x√x5) / √25x16

Solution :

Problem 8 :

∜(81x5 y2 z8)

Solution :

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