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