Ok, so
Here we have the expression:
[tex]27a^0c^3[/tex]We want to evaluate it for:
[tex]\begin{gathered} a=\frac{2}{3} \\ \\ c=-\frac{1}{3} \end{gathered}[/tex]This is:
[tex]\begin{gathered} 27(\frac{2}{3})^0(-\frac{1}{3})^3 \\ \\ 27(1)(-\frac{1}{27}) \\ =-1 \end{gathered}[/tex]So that's -1.