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 :

(5^th root of 10)⁴

Solution :

= (5^th 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 :