what is the last digit of the number 3^2003, and a calculator will not help you it can't handle a number this big
2006-06-15 09:51:00 · 6 answers · asked by Anonymous in Education & Reference ➔ Higher Education (University +)
what is the last digit of the number 3^2003, and a calculator will not help you it can't handle a number this big ( it's only one number) and explanin it
2006-06-15 09:54:31 · update #1
last digit means
for example in 26 it's 6 and
3462782634 it 4
2006-06-15 09:58:28 · update #2
come on... i'm not in 1st grade
7
b/c
3 ^ 1 = 3
3 ^ 2 = 9
3 ^ 3 = ...7
3 ^ 4 = ...1
3 ^ 5 = ...3, and the pattern repeats itself.
Therefore, a multiple of 4 will end in a 1.
2004 is a multiple of 4, thus will end in a 1
therefore 2003 ends in a 7
2006-06-15 09:59:17 · answer #1 · answered by mommy_mommy_crappypants 4 · 7⤊ 3⤋
The answer is "7".
Check this out:
3 ^ 03 = 27 (ends in "27")
3 ^ 13 = 1594323 (ends in "23")
3 ^ 23 = 94143178827 (ends in "27")
3 ^ 33 = 5559060566555523 (ends in "23")
3 ^ 43 = 328256967394537077627 (ends in "27")
3 ^ 53 = ends in "23" - try it yourself!
3 ^ 63 = ends in "27"
By this pattern, 3 ^ 2003 will end in "27", or, to answer your question, the number "7".
2006-06-15 17:03:10 · answer #2 · answered by lawman04 2 · 0⤊ 0⤋
3^2003 =
4.71925237965115934608193147...
(cont) ...17446e+955
That answer the question??
2006-06-15 16:55:30 · answer #3 · answered by zbbasktbal82092 3 · 0⤊ 0⤋
the answer is
4.7192523796511593460819314717446e+955
2006-06-15 16:57:04 · answer #4 · answered by HJR 1 · 0⤊ 0⤋
4.7192523796511593460819314717446e+955
2006-06-15 16:53:25 · answer #5 · answered by dancingqueen378 2 · 0⤊ 0⤋
3, because i have eyes and can read it!
2006-06-15 16:54:33 · answer #6 · answered by cyndi b 5 · 0⤊ 0⤋