Final answer:
The quotient of the expression (36x⁴)/(4x⁹) is 9x⁻⁵.
Step-by-step explanation:
To find the quotient of the expression (36x⁴)/(4x⁹), we divide the coefficients and subtract the exponents of the variable x. In this case, the quotient is (36/4)x^(4-9) = 9x^(-5).