(t^-4)^-9t^2

Answer 1

To simplify the expression, we can apply the rules of exponents:

First, let's simplify the base of the exponent:

(t^-4)^-9 = t^(9*(-4)) = t^(-36)

Now, let's consider the exponent of t:

t^(-36) * t^2 = t^(-36+2) = t^(-34)

Therefore, (t^-4)^-9 * t^2 simplifies to t^(-34).