Question

Please tell me the answer to c ignore the question b thank you

Answer 1

`\boxed{ z = 3m-2n}`

Explanation:

=>
`1000^m / 100^n`

=>
`(10)^(3m) / (10)^(2n)`

Using rule of exponents
`a^m/a^n = a^(m-n)`

=>
`10 ^(3m-2n)`

Comparing it with
`10^z`, we get

=> z = 3m-2n

Answer 2

c).

`{1000}^(m) / {100}^(n) \\ \\ {10}^(3m) / {10}^(2n)`

Since they have the same base and are dividing we subtract the exponents

That's

`{10}^(3m - 2n)`

So

z = 3m - 2n

Hope this helps you