To simplify the expression, we can first apply the power of a power rule, which states that (a^b)^c = a^(b*c).
Applying this rule to the expression (t^-4)^9, we get t^(-4*9) = t^(-36).
Therefore, the simplified expression becomes t^(-36) * t^2.
To simplify further, we can combine the terms with the same base by adding their exponents.
t^(-36) * t^2 = t^(-36+2) = t^(-34).
So, the simplified expression is t^(-34).
(t^-4)^9t^2
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