Binomial

what is remainder when 5 power 5 power 5...... 24 times 5 (the base 5 is also included ) is divided by 24 Plz answer in detail

5 Answers

plz answer it not trying or not getting the question guys Plz help.........

5²â‰¡1 (mod 24)

take any power n on both sides

5²ⁿâ‰¡1 (mod 24)

Multiply by 5

5²ⁿ⁺¹â‰¡5 (mod 24)

so for an odd power the remainder is 5.. for an even power it is 1

here we have an odd power.. hence the answer is 5

Sir
why is ² equal to 1
this step ...
5²â‰¡1 (mod 24)
what we mean by it Sir

We mean that the difference is divisible by 24

25-1 is divisible by 24

Congruence... is something you should study.. It is a very handy tool...

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