Answer:
[tex](\frac{1}{8})^{-3}=512[/tex]Explanation:
1/8 to the third power as a negative exponent
[tex](\frac{1}{8})^{-3}[/tex]Simplifying we have;
[tex](\frac{1}{8})^{-3}=8^3=8\times8\times8=512[/tex]Negative power are the power of the exponent.
Like;
[tex]\begin{gathered} 2^{-1}=\frac{1}{2} \\ (\frac{1}{4})^{-2}=4^2=16 \end{gathered}[/tex]So, the solution to the question is;
[tex](\frac{1}{8})^{-3}=512[/tex]