1. The problem is to evaluate the expression $\left(\frac{0}{25}\right)^{-7} \times 8^{5}$. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$, but this only applies if $a \neq 0$. 3. Here, $\frac{0}{25} = 0$, so the expression becomes $0^{-7} \times 8^{5}$. 4. However, $0^{-7} = \frac{1}{0^{7}}$ is undefined because division by zero is not allowed. 5. Therefore, the entire expression is undefined. Final answer: The expression is undefined because it involves division by zero.