# Complete the following table.

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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