SOLUTION: What is the units digit of 3^2009? (a) 1 (b) 3 (c) 5 (d) 7 (e) 9

Question 252364: What is the units digit of 3^2009?
(a) 1 (b) 3 (c) 5 (d) 7 (e) 9

Found 2 solutions by richwmiller, scott8148:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
there are 960 digits
the first three are 344 and the last three are 683
What is the point of this exercise?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729
3^7 = 2187

the pattern for the units digit repeats 1-3-9-7 (or 3-9-7-1 if you start at 3^1)

2009 / 4 = 502, with a remainder of 1

units digit of 3^2009 is the same as 3^1 ___ which is 3
RELATED QUESTIONS
What is the last digit of 7^2009 ? A. 1 B. 3 C. 5 D. 7 E. 9 (answered by Edwin McCravy)
What is the units digit of 3^35? a 1 b 3 c 5 d 7 e 9 (answered by Theo)
What is the units digit of 3^1 + 3^3 + 3^5 + 3^7 +��+ 3^2009... (answered by Alan3354)
If n is a positive integer, which of the following cannot be the units digit of 7^n?... (answered by Alan3354)
If n is a positive integer, which of the following cannot be the units digit of 7^n ?... (answered by JBarnum)
If 713^10 is multiplied out completely, what is the units digit of the resulting number? (answered by galactus)
The last digit of 3^2007 is a 1 b 3 c 5 d 7 e... (answered by Alan3354)
If 2007^2007 is multiplied out, the units� digit in the final product is: (A) 1 (B) 3... (answered by Alan3354)
Which of these digits is the units digit of the number 9^99 −4^44? A) 4 B) 3 C)... (answered by Alan3354,toidayma)