11. \( \frac{\left(4 x^{5} y^{8}\right)^{0}}{5 x y} \)

When you have a term raised to the power of zero, like \( (4 x^{5} y^{8})^{0} \), it simplifies to 1, regardless of what’s inside the parentheses (as long as it's not zero). So the expression becomes \( \frac{1}{5xy} \). Next, if you want to perform any operations with this fraction, you can simplify its form. In this case, it remains as \( \frac{1}{5xy} \) since there are no further simplifications possible with just numbers and variables. Remember, whenever you see a zero exponent, think of it as a little invisible magic trick that turns the entire term into a one!