Q. 2

# Write the followi

we know that ‘nth root of mth powerof a’ is expressed as (am)1/n

and ‘mth power of nth root of a’ is expressed as ( )m.

(1) Square root of 5th power of 121.

We know that,

‘nth root of mth powerof a’ is expressed as (am)1/n

So, ‘Square root of 5th power of 121’ is expressed as (1215)1/2 or (121)5/2.

(2) Cube of 4th root of 324.

We know that,

‘nth root of mth powerof a’ is expressed as (am)1/n

So, ‘Cube of 4th root of 324’ is written as (3241/4)3 or (324)3/4.

(3) 5th root of square of 264.

We know that,

‘nth root of mth powerof a’ is expressed as (am)1/n

So, ‘5th root of square of 264’ is written as (2642)1/5 or

(264)2/5.

(4) Cube of cube root of 3.

We know that,

‘mth power of nth root of a’ is expressed as ( )m

So, ‘Cube of cube root of 3’ is written as (31/3)3 or (31)3/3.

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