Q. 14.0( 2 Votes )

Complete the following table.


Answer :


Explanation of Table


Generally we can express two meaning of the number am/n.


am/n = (am)1/n means ‘nth root of mth powerof a’.


am/n = ()m means ‘mth power of nth root of a’.


(1) (225)3/2


(2253)1/2 means ‘Cube of square root of 225’.


(2251/2)3 means ‘Square root of cube of 225’.


(2) (45)4/5


(454)1/5 means ‘Fourth power of fifth root of 45’.


(451/5)4 means ‘Fifth root of fourth power of 45’.


(3) (81)6/7


(816)1/7 means ‘Sixth power of seventh root of 81’.


(811/7)6 means ‘Seventh root of sixth power of 81’.


(4) (100)4/10


(1004)1/10 means ‘Fourth power of tenth root of 100’.


(1001/10)4 means ‘Tenth root of fourth power of 100’.


(5) (21)3/7


(213)1/7 means ‘Cube of seventh root of 21’.


()3 means ‘Seventh root of cube of 21’.


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