Question

How to express in simpliest form, with a prime number base?

Answer 1

You mean this?
6 = 2 • 3

Answer 2

Just divide the number by prime numbers starting with 2 until you get a decimal, then go to the next prime number and stop until 1.

Answer 3

Example
6 / 2 = 3
3 / 2 = 1.5 (not valid)
3 / 3 = 1 (stop)
6 = 2 • 3

Another example
20 / 2 = 10
10 / 2 = 5
5 / 2 = 2.5 (not valid)
5 / 3 ~= 1.67 (not valid)
5 / 5 = 1 (stop)
20 = 2 • 2 • 5 = 2^2 • 5

Answer 4

Thanks so much!

Answer 5

So, how does one solve:
3^k*81?