Determine which statement is true for 23^312 ?
Answers
Answer:
दु DC by uni ki uth thr u in huh SF tb u I'll
Correct Question :- Determine which statement is true for last digit of 23^312 ?
Answer :-
we know that, concept for unit digit of s square number :-
→ 1² = 1 = unit digit 1 .
→ 2² = 4 = unit digit 4.
→ 3² = 9 = unit digit 9.
→ 4² = 16 = unit digit 6.
→ 5² = 25 = unit digit 5.
→ 6² = 36 = unit digit 6 .
→ 7² = 49 = unit digit 9.
→ 8² = 64 = unit digit 4.
→ 9² = 81 = unit digit 1.
→ 10² = 100 = unit digit 0.
So, unit digit of a square number is depends on the unit digit of digit of square root of that number..
now,
→ (23)^312
→ (unit digit)^312
→ (3)^(312)
→ (3⁴)⁷⁸
→ (81)⁷⁸
→ (unit digit)⁷⁸
→ (1)⁷⁸
→ 1 .
therefore, we can conclude that, the last digit of (23)^312 is equal to 1 . now, you can check options in which statement it is given 1 as last digit . That will be your answer .
Learn more :-
Question No. 4
What are the last two digits of x, if x = (11^1+ 11^2 + 11^3 +
+ 11^55)?
55
00
04
45
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