Answer:
z=3m-2n
Step-by-step explanation:
[tex]\frac{1000^{m} }{100^{n} } = \frac{10^{3m} }{10^{2n} } = 10^{3m-2n}[/tex]
[tex] {5}^{3} \times {5}^{x} = {5}^{3 + x} = {5}^{7} \\ x = 4 \\ {( {q}^{2} )}^{y} = {q}^{6} = {q}^{2 \times y} = {q}^{6} \\ y = 3 \\ \frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ z = m - n[/tex]
