Solution
Step 1
State a law of indices that can be used to simplify the expression
[tex](a^b)^c=(a)^{bc}[/tex]Step 2
Apply the law to solve the problem
[tex]\begin{gathered} \text{From the law, in relation to the question} \\ a\text{ = -4} \\ b\text{ = -5} \\ c\text{ = 0} \\ \text{Therefore, after substitution, we would have} \\ (-4^{-5}_{})^0 \\ (-4)^{-5\times0} \\ (-4)^0 \end{gathered}[/tex]According to a law of indices, any number raised to the power of zero = 1
Therefore,
[tex](-4)^{0\text{ }}=1[/tex]The right option, therefore, option A, 1
