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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2000 National Olympiad First Round
14
14
Part of
2000 National Olympiad First Round
Problems
(1)
Turkey NMO 2000 1st Round - P14 (Number Theory)
Source:
7/25/2012
What is the last two digits of the decimal representation of
9
8
7
⋅
⋅
⋅
2
9^{8^{7^{\cdot^{\cdot^{\cdot^{2}}}}}}
9
8
7
⋅
⋅
⋅
2
?
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81
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61
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41
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21
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01
<span class='latex-bold'>(A)</span>\ 81 \qquad<span class='latex-bold'>(B)</span>\ 61 \qquad<span class='latex-bold'>(C)</span>\ 41 \qquad<span class='latex-bold'>(D)</span>\ 21 \qquad<span class='latex-bold'>(E)</span>\ 01
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81
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61
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41
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21
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01
modular arithmetic