Question

Q6. Express the following numbers in the index form.
1. Fifth root of 13
2. Cube root of 17
3. Seventh root of 30
Q7. Write the following numbers in the form of rational indices.
1. Square root of 5th power of 121
2. 5th root of square of 264​

Answer 1

Answer:

13=1.67027765233

17=2.57128159066

7=1.65561359306

Answer 2

It is known that,

nth root of a is expressed as a1/n.

(1) Fifth root of 13

= (13)1/5

(2) Sixth root of 9

= (9)1/6

(3) Square root of 256

= (256)1/2

(4) Cube root of 17

= (17)1/3

(5) Eighth root of 100

= (100)1/8

(6) Seventh root of 30

= (30)1/7

It is known that,

nth root of a is expressed as a1/n.

(1) (81)14

= Fourth root of 81

(2) (49)12

= Square root of 49

(3) (15)15

= Fifth root of 15

(4) (512)19

= Ninth root of 512

(5) (100)119

= Nineteenth root of 100

(6) (6)17

= Seventh root of 6

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