To simplify the given expression [tex]\(\left(\frac{x^{-6} y^{-8}}{-x^5 y^{-1}}\right)^0\)[/tex], we will follow several steps:
1. Recall the property of exponents: Any expression raised to the power of 0 is equal to 1, provided the base is not zero.
Thus, no matter how complicated the expression inside the parentheses is, raising it to the power of 0 will always result in 1.
Therefore, simplifying [tex]\(\left(\frac{x^{-6} y^{-8}}{-x^5 y^{-1}}\right)^0\)[/tex] gives:
[tex]\[
1
\][/tex]
So, the simplified form of the given expression is:
[tex]\[
1
\][/tex]
