(t^-4)^-9t^2
a. t^26
b. t ^ -26
c.t^38
d. t ^ -38
To simplify the expression (t^-4)^-9t^2, we need to apply the exponent rules.
First, we deal with the inner exponent: (t^-4)^-9.
To simplify this, we multiply the inner and outer exponents together:
(t^-4)^-9 = t^-4 * -9 = -9t^-36.
Next, we multiply this result by t^2:
-9t^-36 * t^2 = -9t^-36+2 = -9t^-34.
Therefore, the simplified expression is -9t^-34.
The correct answer is: b. t^ -26