Final answer:
The provided choices are incorrect; none match the original expression (4mn)/(m-2n)^5 in terms of the power and the variables included.
Step-by-step explanation:
The expression equivalent to (4mn)/(m-2n)^5 is found by simplifying the numerator and the denominator while keeping in mind that negating a denominator's exponent results in its reciprocal. Starting with the original expression, we look for factors that might be canceled out. The numerator, 4mn, can be split into 4m and n. Since there are no common factors with the denominator (m-2n)^5, the expression cannot be simplified further.
Likewise, looking at the answer options, none of them have an'm' term, so let's assume'm' is not in its simplest form and divide both the numerator and denominator of our initial fraction by'm', which would yield (4n)/(m-2n)^5. However, since we can't confirm that'm' cancels out on its own (without additional context), we can't reduce the expression this way, and all provided responses are incorrect as none match the original expression's power and variables correctly. To simplify the expression (4mn)/(m-2n)^5, we can cancel out common factors in the numerator and denominator. Since there is a 4 in both terms, we can cancel it out: (4mn)/(m-2n)^5 = (mn)/(m-2n)^5. So, the equivalent expression is (mn)/(m-2n)^5.