Question

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

Answer 1

Answer:

z = 3m - 2n

Step-by-step explanation:

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