Math, asked by wwwfathimakhadhar, 1 year ago

find the unit digit of the numeric expression 114power+115power21+116power22​

Answers

Answered by amitnrw
6

Unit Digit of 114²⁰  + 115²¹  + 116²²   will be 7

Step-by-step explanation:

Question misses power to 114

Assuming That Question is

114²⁰  + 115²¹  + 116²²

= (114²)¹⁰  + 115²¹  + 116²²

114²  end with 6

ending with 6 raised to power ≥ 1  ends with 6

Hence

(114²)¹⁰   & 116²²  will end with 6

ending with 5 raised to power ≥ 1  ends with 5

115²¹ will end with 5

6 + 5  + 6  = 17

Unit Digit of 114²⁰  + 115²¹  + 116²²   will be 7

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