Question

Reduce the fraction to lowest terms. Do not use spaces in answer.

38x^2yz^2
__________=
-19xy^2z^3

Answer 1

Subtract the denominator exponent of each variable from the numerator exponent of the same variable.
The 38/-19 factor can be written -2

Put it all together and you get
-2x y^-1 z^-1
= -2x/(yz)

I don't see what the big deal is about using spaces