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When you simplify ,3 to the 56 power what number is in the ones place
 Jan 30, 2014
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When you simplify ,3 to the 56 power what number is in the ones place



well let's take a look

3 9 27 81 243 729 2187 ...

so the last digit repeats as
1 2 3 4 5 6 7 8 (power)
3 9 7 1 3 9 7 1 ...

so
3^(4n+0) -> 1

3^(4n+1) -> 3

3^(4n+2) -> 9

3^(4n+3) -> 7

56 = 4*14 + 0

so 3^56 will end in 1
 Jan 30, 2014

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