Approximately finding (x/a) to the power n

Suppose you want to find the square or cube or to the power 4 etc. of a rational number (x/a).; can it be done using binomial? Approximately yes.

How about that ?

Here is the approximate formula. This formula has many practical applications like agricultural growth calculations, population calculations, space calculations etc. etc.  Binomials are natural. More so are the binomials of consecutive numbers. And simply dividing the binomials raised to different exponents gives the to the power of the rational number formed by the two terms of the binomial.

And here are the screenshots of Wolfram Alpha which validates the formula stated.

Hope you have a nice day !!