true or false (k^-2/k^-4)^-7 is the same as 1/k^14?

Question

(k^-2 / k^-4) ^-7 is it the same as 1 / k^14

Answer 1

Yes, it's true.
There are two ways to do this.

1) Taking each term to the power of -7 gives :
k^14 / k^28 = 1 / k^14

2) Calculating inside the brackets first gives :
(k^2)^-7 = k^-14 = 1 / k^14