# Power of 3

What power of 27 is needed to get the correct power of 3?

What number needs to replace the

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$3^{2016}+9^{1008}+27$

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*This problem is adapted from the World Mathematics Championships*

**Answer**: $672$

$9^{1008}=(3^2)^{1008}=3^{2\times 1008}=3^{2016}$

$27=3^3$, so $27$

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$3^{2016} + 3^{2016} + 3^{3\times}$

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$ = 3^1\times3^{2016}$

$\therefore 3\times$

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