Answer:
[tex]\frac{1}{t^{72}}[/tex].
Step-by-step explanation:
To solve this problem, we need to simplify the expression [tex](t^{9})^{-8}[/tex].
We know that [tex](x^{a})^{b} = x^{ab}[/tex]
Therefore:
[tex](t^{9})^{-8} =t^{-72} =\frac{1}{t^{72}}[/tex].