Question

Whats 256/6561 written as a power

Answer 1

You can find powers for both 256 and 6561 by sketching out their prime factorization trees (I've attached a few pictures of those trees), and doing so gets us the results of:


`256=2^8\\ 6561=3^8`

Which makes our fraction


`(2^8)/(3^8)`

or simply


`\big((2)/(3)\big)^8`