# Algebra : Remainders

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What is the remainder when the product of one hundred 5's is divided by 7?

Please be detailed in your response.

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#### Solution Preview

The product of 100 5's is 5^100.

In doing this problem the important thing is to reduce

5^100.

decrease the power

find the nearest multiple of 7

reduce by binomial ...

#### Solution Summary

The remainder when the product of one hundred 5's is divided by 7 is found.

$2.49