simplifly -5.2k + 1 - 2 . 4k-2

To simplify the expression -5.2k + 1 - 2.4k^(-2), we can follow the order of operations (PEMDAS/BODMAS):

First, deal with the exponent: k^(-2) = 1/k²

Then, simplify the expression:

-5.2k + 1 - 2(1/k²)

Distribute the "-2" across the terms inside the parenthesis:

-5.2k + 1 - (2/k²)

Now, let's combine like terms:

-5.2k - (2/k²) + 1

There is no further simplification possible.