Question

What will be the remainder when 53^82+53 is divided by 54?

Answer 1

Answer:

0

Step-by-step explanation:

Remainder will be equal to :

(-1)^82 +(-1)

-1^even power = 1

-1^odd power = -1

Here ,

(-1)^82 +(-1)

1 +(-1)

On opening the brackets , the sign of terms inside the brackets will change only if there is -ve sign before them.

1-1

On subtracting number from number itself we get zero.

1-1 = 0

So, remainder = 0