Thread: Find the Last Five Digits

Please help me do this question.

Find the last five digits of

(101^{^100)} -1

10000

Use the binomial expansion for

Dear Sir thank you for your consideration.
But how would the binomial expansion of the same help as then I would have to add all the numbers
and then get my results.

Please help and give a proper explanation if possible.

Regards
aakgoel

. All terms starting from the third one end with at least 6 zeros, so you need to consider the first two terms only.