If you raise 3 to the 324th power, what is the units digit of the result?

3 ⤊

If you raise 3 to the 324th power, what is the units digit of the result?

Please explain in detail, how you got your answer :)

thank you

2006-09-17 12:14:52 · 4 answers · asked by sarah 3 in Education & Reference ➔ Homework Help

4 answers

The last digits of powers of 3 rotate between 3, 9, 7 and 1. You can easily check this on a calculator. So to find the last digit, you just have to know the answer to the power mod 4 (because the cycle is 4 long). In this case that's 0, so the last digit is 1.

2006-09-17 12:16:55 · answer #1 · answered by Anonymous · 2⤊ 0⤋

355 digits

2006-09-17 12:18:28 · answer #2 · answered by coldman64 2 · 0⤊ 3⤋

1.1599E+155

2006-09-17 12:29:51 · answer #3 · answered by elltea 4 · 0⤊ 1⤋

3.8662E+154

2006-09-17 12:17:20 · answer #4 · answered by Crimson 2 · 1⤊ 3⤋