Question

what is the units digit of 7^282

Answer 1

7^2 ends in 9
7^12 ends in 1
7^22 ends in 9
7^32 ends in 1
7^42 ends in 9
7^52 ends in 1
etc.

Answer 2

Ans is 9
Explanation
U see 7 has a cycle of 4 for units digit For Ex:
7^1=7
7^2=49 (9 is units digit)
7^3=343 (3 being units digit)
7^4=2401(1 being units digit)
on 7^5 last digit will be 7 again
so u first divide the exponent 7^Y by 4 (Here y=282)
Remainder will be left power of 7 (Here 7^2=49)
Hence 9 will be the units digit

Answer 3

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