Question

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

A)t^26
B)t^-26
C)t^38
D)t^-38

Answer 1

The relevant rules of exponents are
.. (t^a)^b = t^(a·b)
.. t^a·t^b = t^(a+b)

You have
.. (t^-4)^-9·t^2
.. = t^((-4)*(-9) +2)
.. = t^38 . . . . . . . . . . . selection C