Answer :

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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