The unit digit of (464)³ is
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0
Answer:
99897344
Step-by-step explanation:
(463)^3
=463×463×463
=99897344
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The units digit is 4.
We don't actually multiply 464 three times. The solution is multiplying a units digit to a units digit.
The reason is we multiply any number above the units digit, the product at least ten's digits.
Solving
The units digit of 464² is 6.
The units digit of 464³ is 4.
More information:
If the units digit is 0, 1, 5, or 6, the result will be always that number.
Each units digit has its own cycle. I tried this and these are every single result.
0 → 0 → ...
1 → 1 → ...
2 → 4 → 8 → 6 → 2 → ...
3 → 9 → 7 → 1 → 3 → ...
4 → 6 → 4 → ...
5 → 5 → ...
6 → 6 → ...
7 → 9 → 3 → 1 → 7 → ...
8 → 4 → 2 → 6 → 8 → ...
9 → 1 → 9 → ...
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