Express the following numbers in index form.

(1) Fifth root of 13

(2) Sixth root of 9

(3) Square root of 256

(4) Cube root of 17

(5) Eighth root of 100

(6) Seventh root of 30

(1) Fifth root of 13

In general, n^th root of ‘a’ is expressed as .

So, the fifth root of 13 is expressed as .

Here, 13 is base, is the index and is the index form of the number.

(2) Sixth root of 9

In general, n^th root of ‘a’ is expressed as .

So, the sixth root of 9 is expressed as .

Here, 9 is base, is the index and is the index form of the number.

(3) Square root of 256

In general, n^th root of ‘a’ is expressed as .

So, the square root of 256 is expressed as .

Here, 256 is base, is the index and is the index form of the number.

(4) Cube root of 17

In general, n^th root of ‘a’ is expressed as .

So, cube root of 17 is expressed as.

Here, 17 is base, is the index and is the index form of the number.

(5) Eighth root of 100

In general, n^th root of ‘a’ is expressed as .

So, the eighth root of 100 is expressed as .

Here, 100 is base, is the index and is the index form of the number.

(6) Seventh root of 30

In general, n^th root of ‘a’ is expressed as .

So, the seventh root of 30 is expressed as .

Here, 30 is base, is the index and is the index form of the number.