Question

the unit of digit in the product 2467 is to the power 153 into 341 is to the power 72 will be

Answer 1

cyclicity of 7 is 4

the unit digits will be 7,9,3,1

cyclicity of 1 is 1

the unit digit is only 1

In first case

2467 power 153 (since 153=4*38+1)

unit digit is 2467 power 153 is 7

In second case

341 power 72 (since 72=1*72)

unit digit of 341 power 72 is 1

Finally,

7*1=7

therefore, answer is 7