12 to the third over 12 to the seventh (12^3/12^7)? the answers are 12^4, 1/12^4, 1/12^-4, or 12^10

12^3 / 12^7

Cancel out the common factor:

Multiply the numerator by 1:

12^3 * 1 / 12^7

Factor 12^3 out of the denominator to get:

12^3 * 1 / 12^3 * 12^4

Now cancel the common factor to get:

1/12^4

people went from manufacturing one object at a time by hand to manufacturing many objects in factories