Question

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

Answer 1

Answer:

c).

${1000}^{m} \div {100}^{n} \\ \\ {10}^{3m} \div {10}^{2n}$

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

Answer 2

Answer:

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

Step-by-step 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