Difference between revisions of "2023 AMC 10B Problems/Problem 8"
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| + | What is the units digit of <math>2022^{2023} + 2023^{2022}</math>? | ||
| + | <math>\text{(A)}\ 7 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 3</math> | ||
| + | |||
| + | ==Solution== | ||
| + | <math>2022^{2023} + 2023^{2022} \equiv 2^3 + 3^2 \equiv 17 \equiv 7</math> (mod 10). <math>\boxed{\text{B}}</math> | ||
Revision as of 15:25, 15 November 2023
What is the units digit of 
?
Solution
(mod 10). 
