Question 37548
So if I understand correctly you are asking to simplify the expression:
{{{4x^4y^7z^3/32x^5y^4z^9}}}
Using the quotient rule for exponents you would first set up you problem 
by subtracting the variables in the numerator by the corresponding variables in the denominator.
So, first begin with the rational expression 4/32, which can be simplified 1/8.
Then...
{{{x^(4-5)y^(7-4)z^(3-9)/ (8)}}}
Which becomes...
{{{x^(-1)y^(3)z^(-6)/ (8)}}}
Then positive exponents remain in the numerator and negative exponents are put in the denominator as positives.
So...
{{{y^(3)/ (8xz^6)}}}
This is the most this can be simplified.