Question

find the remainder when 8^64 is divided by 63.

Answer 1

Answer:

The remainder will be 1.

Step-by-step explanation:

When $8^{64}$ is divided by 63,

    $= \frac{8^{64} }{63}$

    $=\frac{(8^{2})^{32} }{63}$

    $= \frac{64^{32} }{63}$

When 64 is divided by 63, then the reminder comes 1.

So, The reminder of $\frac{64^{32} }{63}$ is = $1^{32}$$= 1$

Therefore, 1 will be the remainder when 8^64 is divided by 63.