Reduce the fraction to lowest terms. Do not use spaces in answer.
38x^2yz^2
__________=
-19xy^2z^3
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
To reduce the given fraction to its lowest terms, we need to simplify both the numerator and the denominator.
Step 1: Factor the numerator and the denominator.
The numerator, 38x^2yz^2, can be factored into 2 * 19 * x * x * y * z * z.
The denominator, -19xy^2z^3, can be factored into -1 * 19 * x * y * y * z * z * z.
Step 2: Cancel out common factors.
By canceling out the common factors, we can simplify the fraction further. Canceling out the common factors, we get:
(2 * x * z) / (-y)
Step 3: Simplify the fraction.
We can simplify the fraction by moving the negative sign to the numerator, resulting in:
-(2xz) / y
Therefore, the given fraction, 38x^2yz^2 / -19xy^2z^3, in the lowest terms is -(2xz) / y.