To find the value of k, you need to use the Remainder Theorem. The Remainder Theorem states that when a polynomial is divided by (x - a), the remainder is equal to the value of the polynomial at x = a.
In this case, f(x) is divided by (2 - 3), which is -1. So, you have:
f(-1) = 95
Now, plug this into the given equation:
32³ + ke^(-13) = 95
Solve for k:
k = 95 - 32³ * e^(-13)
You'll need to calculate the value of k using the equation above to find its value. Without specific numerical values for 32³ and e^(-13), you won't be able to determine the exact value of k.