# If {p} denotes the fractional part of the number p,

Question:

If $\{p\}$ denotes the fractional part of the number $p$, then $\left\{\frac{3^{200}}{8}\right\}$, is equal to :

1. (1) $\frac{5}{8}$

2. (2) $\frac{7}{8}$

3. (3) $\frac{3}{8}$

4. (4) $\frac{1}{8}$

Correct Option: , 4

Solution:

$\frac{3^{200}}{8}=\frac{1}{8}\left(9^{100}\right)$