Question

The remainder when $(2^{54}-1)$ is divided by 9 is:

• A. 8
• B. 7
• C. none of these

Answer 1

$\frac{2^{54}-1}{9}=\frac{(2^6{)}^9-1}{9}\Rightarrow \frac{(1{)}^9-1}{9}\Rightarrow 0$
Hence there will be no any remainder.