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What is the units’ digit of (9)7(17)3(3)3 ?
A. 3.
B. 5.
C. 7.
D. 8.
E. 9.
Correct Answer: E
Explanation/Reference:
Explanation:
(17)3(3)3 = (17 x 3)3 = (51)3 = 51 x 51 x 51 —> the units’ digit is just 1 x 1 x 1 = 1.
We are left with the units’ digit of 97.
(9)7 = 9 x 81 x 81 x 81 —> the units’ digit is 9.
And therefore the units’ digit of the entire expression is 9.
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