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To calculate an approximate value for, say 99.55, you could first rewrite it as

1005*(1-0.005)5

and then use the binomial expansion of the first three terms of (1-0.005)5 to get a pretty good approximation - accurate to 1.2 parts in a million!

You can calculate the first three terms without a computer if you know your basic times tables.

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Q: Where can you apply binomial expansion in engineering?
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