Question

Which of the following simplifies to a negative number? -4^-4, (-4)^-4, 4^-4, 1/4^-4

Answer 1

Any exponential function will end up giving you a positive value.
So, the power of any positive value can never give a negative again.
Hence, multiplying a negative number or adding a negative will yield a negative amount. Hence, -4^(-4) will be negative as a whole.