Question

Complete the following table.
Sr. No. Number Power of the root Root of the power
(1) (225)³/² Cube of square root of 225 Square root of cube of 225
(2) (45)⁴/⁵
(3) (81)⁶/⁷
(4) (100)⁴/¹⁰
(5) (21)³/⁷

Answer 1

Hi,

Solution:

Find the solution of your problem:

(1) (225)³/²: Cube of square root of 225 --- Square root of cube of 225

(2) (45)⁴/⁵ : Power 4 of the fifth root of 45 --- fifth root of power 4 of 45

(3) (81)⁶/⁷ : Power 6 of seventh root of 81 --- Seventh root of power 6 of 81

(4) (100)⁴/¹⁰ : Power 4 of tenth root of 100 --- Tenth root of power 4 of 100

(5) (21)³/⁷: Cube of seventh root of 21 ---Seventh root of cube of 21

Arrange the given content in tabular form.

Hope it helps you.

Answer 2

The above question can be solved in the following ways:

(1) (225)³/² = Cube of square root of 225 or Square root of cube of 225

(2) (45)⁴/⁵ = 4th power of fifth root of 45 or fifth root of 4th power of 45

(3) (81)⁶/⁷ = 6th power of 7th root of 81 or 7th root of 6th power of 81

(4) (100)⁴/¹⁰ = 4th power of tenth root of 100 or 10th root of 4th power of 100

(5) (21)³/⁷ = Cube of 7th root of 21 or 7th root of cube of 21