Simplity the follo \[ \left(x^{8} y^{5}\right)^{-5} \]

To simplify \(\left(x^{8} y^{5}\right)^{-5}\), we apply the power of a power rule, which tells us to multiply the exponents. This leads us to: \[ \left(x^{8} y^{5}\right)^{-5} = x^{8 \cdot -5} y^{5 \cdot -5} = x^{-40} y^{-25} \] Next, we can express the negative exponents as fractions: \[ x^{-40} = \frac{1}{x^{40}} \quad \text{and} \quad y^{-25} = \frac{1}{y^{25}} \] Thus, the simplified expression becomes: \[ \frac{1}{x^{40} y^{25}} \]