Question

1000 to the power of m divided by 100 to the power of n can be written a 10 to the power of z. Expre z in term of m and n

Answer 1

z = 3m - 2n

Explanation:

1000 = 10^3

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

100 = 10^2

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

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

z = 3m - 2n