Question: 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) $\frac{1}{8}$
Correct Option: , 4
Solution:
$\frac{3^{200}}{8}=\frac{1}{8}\left(9^{100}\right)$