Question

find the unit digit of (114 power20)+115 power 21 + ,116 power 22​

Answer 1

Given:   114²⁰ + 115²¹ + 116²²

To Find : unit Digit

Solution:

114²⁰ + 115²¹ + 116²²

= (114²)¹⁰  + 115²¹ + 116²²

4² ends with 6

Any number ending with 6 raised to any positive integer will end with 6

Any number ending with 5 raised to any positive integer will end with 5

(114²)¹⁰   ends with 6

115²¹   ends with 5

116²²   ends with 6

6 + 5 + 6  = 17

unit digit is 7

114²⁰ + 115²¹ + 116²²  unit digit is 7

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