Question

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Answer 1

z = 3m - 2n

Explanation:

`\frac{ {1000}^(m) }{ {100}^(n) } = {10}^(z) \\ \\ \frac{ {10}^(3m) }{ {10}^(2n) } = {10}^(z) \\ \\ {10}^(3m - 2n) = {10}^(z) \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}`