Question

What is the value of this expression? (−4)4

Answer 1

It should be -16, assuming you are asking for -4*4. If you meant -4^4 (-4 to the fourth power) then the answer is 256.

Answer 2

The question is asking for the product of these two terms.

First you need to consider the sign, remember the following rules:
positive * positive = positive
negative * negative = negative
positive * negative = negative
negative * positive = negative

In the question, we have a negative term and a positive term, therefore, the answer would be negative.
Now considering the two numbers: 4*4 = 16

Based on the above and taking the sign into consideration, the answer would be as follows:
(-4)(4) = -16