Question

Find the remainder of 3^560 when divide by 8 class 10

Answer 1

Hope it helps

lf you like my answer

please mark as brainlist.

THANK YOU ✌✌

Answer 2

Answer:

The remainder of $\frac{3^{560} }{8}$ is 1

Step-by-step explanation:

Remainder of $\frac{3}{8}$ is 3

Remainder of $\frac{9}{8}$ is 1

Remiander of $\frac{3^{3} }{8}$ is 3

Remainder of $\frac{3^{4} }{8}$ is 1

As seen, there is a remainder pattern of 3 and 1.

Considering,  $\frac{3^{560} }{8}$

$\frac{3^{560} }{8} = \frac{9^{280} }{8} =\frac{(8+1)^{280} }{8}$

Hence, the remainder of  $\frac{3^{560} }{8}$  is 1