Unit digit of cube of 173 is _______
Answers
Answer:
The question is about the unit place of 122 raised to the power 173.
The unit place of 122 is 2.
The unit digits of powers of 2 ore going in the following order
2. 4, 8, 6.
Which means like,
2 ends in 2 2 ends in 4,
2 ends in 8,
2* ends in 6.
2 ends in 2.
2 ends in 4.
2 ends in 8. 2 ends in 6,
and so on.
Thus the sequence is repeating
So there are 4 possible numbers which comes in unit digits of the powers of 2.
Consider the exponent here. Le 173
We have to divide this 173 by 4 and to find the remainder
The remainder is 1.
As the remainder is 1. then the fat term of the sequence 2, 4, 8, 6 is the answer.
if the remainder was 2, then the second term would be the answer
if the remainder was then the lost term of the sequence would be
Okay. The answer is 2, which is the first term of the sequence.
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