What is the unit digit of 142^111*169^178-273^111
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Question :- What is the unit digit of 142^111*169^178-273^111
Answer :-
we know that,
- last digits of power of 2 = 2, 4, 8 and 6 .
- last digits of power of 9 = 9 and 1.
- last digits of power of 3 = 3, 9, 7 and 1 .
so,
→ (142)¹¹¹ * (169)¹⁷⁸ - (273)¹¹¹
→ (2)¹¹¹ * (9)¹⁷⁸ - (3)¹¹¹
→ (2)^(111÷4) * (9)^(178÷4) - (3)^(111÷4)
→ (2)³ - (9)² - (3)³
→ 8 - 81 - 27
→ 8 - 1 - 7
→ 8 - 8
→ 0 (Ans.)
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Answer:
answer is (ZERO 0)
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