Please help me if you can! THANKS!
2006-09-06 16:54:11 · 10 answers · asked by sweetxbobah 1 in Science & Mathematics ➔ Mathematics
Answer is 1
Why? Compute the last digits of 7^1, 7^2, 7^3, 7^4, 7^5... Do you see a pattern? You should see that they repeat with a period of 4. Then the rest is easy.
2006-09-06 17:01:02 · answer #1 · answered by firat c 4 · 1⤊ 0⤋
Since you only need the last digit you can ignore the rest
7, 7^1
9, 7^2 ignoring all but the ones column
keep multiplying by 7.
3, 7^3
1, 7^4
7, 7^5 this is what you started with so this patten has 4 numbers that keep repeating.
1000 is divisible by 4 so it will end in the same digit as 7^4
The answer is 1
2006-09-06 17:14:56 · answer #2 · answered by Demiurge42 7 · 1⤊ 0⤋
7 ^4 = 2401 the lst digit is 1
last digit of 7^1000 = last of(7^4)^250
which is 1
2006-09-06 18:32:49 · answer #3 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
7^1000 = (7 ^4 )^250 = (7x7x7x7)^250 = (49x49)^250
The last digit of 49 x 49 is 1, so the last digit of .....1^250 is 1 too
Later
Ana
2006-09-06 17:00:53 · answer #4 · answered by MathTutor 6 · 1⤊ 0⤋
7*7=4(9) 9*7=6(3) 3*7=2(1) 1*7=7 THEREFORE WE SEE THAT THE SEQUENCE IS 7,9,3,1 WHICH CAN DIVIDE 1000 THEREFORE THE NUMBER IS 1.
2006-09-06 23:14:26 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Thanks to Maple:
> 12532566399657183181075548323827342061649850750809861714634950075209705963173\
>
> 811643244883905435152076319861591955159407668582898946726302276179083827085\
>
> 457983001511124666120398462435892983257161571801470409630566809750761327366\
>
> 302322689525054138592715842608868449408241676861770818959228693603992231112\
>
> 568371921504668915673835259013724155451018585596454992757549324739113254853\
>
> 437849797880608495108587420201183636231572742010955478298879153008828971184\
>
> 455050023048563841318994713214224394733419925930073562249293741945365006149\
>
> 030210512792031443040163685567754913633748132181134967842707609143734504539\
>
> 933734861126116805592935540299282319249119036002703611228318093587277521451\
>
> 746401317827465710073632156460683825273960115641462844554366314469605065016\
>
> 081262181432706266619517270178020028664502382308318592806137131030082928407\
>
> 1141207731280600001
> print();
12532566399657183181075548323827342061649850750809861714634950075209705963173\
811643244883905435152076319861591955159407668582898946726302276179083827085\
457983001511124666120398462435892983257161571801470409630566809750761327366\
302322689525054138592715842608868449408241676861770818959228693603992231112\
568371921504668915673835259013724155451018585596454992757549324739113254853\
437849797880608495108587420201183636231572742010955478298879153008828971184\
455050023048563841318994713214224394733419925930073562249293741945365006149\
030210512792031443040163685567754913633748132181134967842707609143734504539\
933734861126116805592935540299282319249119036002703611228318093587277521451\
746401317827465710073632156460683825273960115641462844554366314469605065016\
081262181432706266619517270178020028664502382308318592806137131030082928407\
1141207731280600001
>
The Answer is "1".
2006-09-06 17:05:58 · answer #6 · answered by Ernest Maxwell 2 · 0⤊ 2⤋
WOW!!! "Ernest Maxwell" gave you a great answer huh?
2006-09-06 17:36:15 · answer #7 · answered by no_doubt! 5 · 0⤊ 0⤋
0?
2006-09-06 16:56:31 · answer #8 · answered by Wade 5 · 0⤊ 2⤋
the number of times you had sex
2006-09-06 17:01:09 · answer #9 · answered by Anonymous · 0⤊ 2⤋
.99999999999999999999999999
2006-09-06 17:00:40 · answer #10 · answered by Freesia 5 · 0⤊ 1⤋