Question

Write in the form ‘nth root of a’ in each of the following numbers.
(1) (81)¹/⁴ (2) 49¹/² (3) (15)¹/⁵ (4) (512)¹/⁹ (5) 100¹/¹⁹ (6) (6)¹/⁷

Answer 1

Dear student ,

Solution:

(1) (81)¹/⁴ = fourth root of 81 or 4th root of 81

(2) 49¹/² = Square root of 49

(3) (15)¹/⁵ = fifth root of 15 or 5th root of 15

(4) (512)¹/⁹ = ninth root of 512 or 9th root of 512

(5) 100¹/¹⁹ = Nineteenth root of 100 or 19th root of 100

(6) (6)¹/⁷ = Seventh root of 6 or 7th root of 6

Tip: Just write the denominator from power as nth root of that given number.

Hope it helps you.

Answer 2

We can solve the question in below shown method:-

(1) (81)¹/⁴ can be written as 4th root of 81, though it is not asked to solve but if you solve it you will get the answer 3.

(2) 49¹/² can be written as Square root of 49, which is 7.

(3) (15)¹/⁵ can be written as Fifth root of 15.

(4) (512)¹/⁹ can be written as 9th root of 512, which is 2.

(5) 100¹/¹⁹ can be written as 19th root of 100.

(6) (6)¹/⁷ can be written as 7th root of 6.