Question

If I have a fraction where the top and bottom have the same exponent, can I simplify? e.g. (n-1)^k / n^k

Answer 1

yes, you can.

Answer 2

So, \[((n-1)/n)^k\]?

Answer 3

or further, \[(1 - (1/n))^k\]
i guess?

Answer 4

both OK.

Answer 5

Cool, thanks.

I guess this is because \[(2/3)^2 = 2/3 × 2/3 = 2^2/3^2\]

Answer 6

it works even if k is a fraction or negative but you don't need to worry about it for now.