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