Answer:
C.
Explanation:
When dividing, you can simplify the fraction by eliminating like terms. This is what the question is asking.
You have 4 types of terms. You have the constants, the x term, the y term, and the z term.
This equation can be rewritten as:
(20/4)*(x/x^2)*(y^4/y)*(z^12/z^24)
First, simplify the constants.
20/4=5
Next, do the same for the x term. Dividing variables with exponents can be tricky, but if you think about it as just taking the top exponent minus the bottom one, you should come out with a negative in this case. Whenever an exponent is negative, you can move that variable into the denominator, as shown below.
x/x^2 = x^(-1) = 1/x
Third, you would repeat the last step, except with the y term.
y^4/y = y^3
Then, repeat the same thing with the z term.
z^12/z^24 = z^(-12) = 1/z^12
Finally, we plug all that into our rewritten equation.
5*(1/x)*(y^3)*(1/z^12)
Simplify
(5*y^3)/(x*z^12)
Therefore the answer is C.