Answer: the simplified form of the given expression is (6x^4y)/(5z^6).
Step-by-step explanation: To simplify the expression (6x^(3)y^(-5)z^(6))/(5x^(-1)y^(-6)z^(0)), we can use the rules of exponents and simplify each term individually.
Let's start by simplifying the x terms. When we divide variables with the same base, we subtract their exponents. So, (x^(3))/(x^(-1)) = x^(3-(-1)) = x^(3+1) = x^4.
Next, let's simplify the y terms. Using the same rule, we have (y^(-5))/(y^(-6)) = y^(-5-(-6)) = y^(-5+6) = y^1 = y.
Finally, let's simplify the z terms. Any number raised to the power of zero is equal to 1, so z^(0) = 1.
Plugging these simplified terms back into the original expression, we get:
(6x^4y)/(5z^6)