To find the units digit of (27^{27}), we can look at the units digit of (27), which is (7). We then need to find the units digit of (7^{27}). The units digits of the powers of (7) cycle every four terms: (7^1 = 7), (7^2 = 49) (units digit (9)), (7^3 = 343) (units digit (3)), and (7^4 = 2401) (units digit (1)). Since (27 \mod 4 = 3), the units digit of (7^{27}) is the same as that of (7^3), which is (3). Thus, the units digit of (27^{27}) is (3).
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Well, honey, to find the unit digit of 3 to the 60th power, you just need to look for a pattern. The unit digits of powers of 3 repeat every 4 powers, so you divide 60 by 4, which gives you a remainder of 0. Therefore, the unit digit of 3 to the 60th power is 1.
The units digit of 3 raised to any power follows a pattern: 3, 9, 7, 1, and then it repeats. Since 200 is divisible by 4, the units digit of 3 to the 200th power is 1. So, grab a calculator or trust my sassy math skills, honey, the answer is 1.
27th.
33 = 27 cubic units
October 27, 1976 fell on a Wednesday.