Question

1000m \div 100n is 10z express z in terms of m and n

Answer 1

Answer:

Consider 1000 and 100 as their respective powers of 10.

1000=10^3 and 100 = 10^2

Now recall exponent rules. An exponential expression raised to an exponent multiplies those exponents so

1000^m = (10^3)^m = 10^(3m)

And

100^n = (10^2)^n = 10^(2n)

Finally, we want to divide 10^(3m) by 10^(2n). This is another case of exponent rules. If you divide two exponential expressions with the same base, you subtract the exponents. Therefore:

(10^(3m))/(10^(2n)) = 10^(3m-2n)

And z = 3m-2n.

Answer 2

Answer:

z= 3m-2n

Step-by-step explanation:

1000m/100n=

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

10^3m/10^2n=

10^3m-2n

z= 3m-2n