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AMC 8
2016 AMC 8
15
Highest Power of Two
Highest Power of Two
Source: 2016 AMC 8 #15
November 23, 2016
AMC 8
2016 AMC 8
Problem Statement
What is the largest power of 2 that is a divisor of
1
3
4
−
1
1
4
13^4-11^4
1
3
4
−
1
1
4
?
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A
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8
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B
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16
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C
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32
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D
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64
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128
<span class='latex-bold'>(A) </span> 8\qquad<span class='latex-bold'>(B) </span> 16\qquad<span class='latex-bold'>(C) </span> 32\qquad<span class='latex-bold'>(D) </span> 64\qquad <span class='latex-bold'>(E) </span> 128
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8
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16
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32
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64
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128
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