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If ${p}$ denotes the fractional part of the number $p$, then $\left{\frac{3^{200}}{8}\right}$ is equal to:
(1) $\frac{5}{8}$ (2) $\frac{7}{8}$ (3) $\frac{3}{8}$ (4) $\frac{1}{8}$
$3^{200} = (1+8)^{100} = 1 + 8k$. Fractional part of $\frac{1+8k}{8} = \frac{1}{8}$.
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