Question

What is the remainder when we divide 5 to the power 99/13. I want easy method. ​

Answer 1

Answer:

Step-by-step explanation:

Let’s go step by step,

first try to reduce the numerator, try should be to make numerator close to multiple of 13 which should be calculable.

Now, 5^99 / 13 can be reduce to

5*5^98/13

5*25^49/13

Remainder [5*25^49/13]

[5*(-1)^49/13]

[-5/13] : 8

Because -5 can be written as, -5=13*(-1)+8 where 8 is the required remainder.

Almost all questions can be solve using this method.

Answer 2

★ Hello mate !!!!

Now, 5^99 / 13 can be reduce to

5*5^98/13

5*25^49/13

Remainder [5*25^49/13]

[5*(-1)^49/13]

[-5/13] : 8

Because -5 can be written as, -5=13*(-1)+8 where 8 is the required remainder.

Almost all questions can be solve using this method.