Evaluate each expression. Determine if the final simplified form of the expression is positive or negative.

Question

-4^2
(-4)^2
4^2

Answer 1

Let's evaluate each expression one by one:

1. For \(-4^2\): This expression is interpreted as \(-(4^2)\). Calculating \(4^2\): \[ 4^2 = 16 \] Therefore, \[ -4^2 = -16 \] This is negative.

2. For \((-4)^2\): Here, we square \(-4\): \[ (-4)^2 = (-4) \times (-4) = 16 \] This is positive.

3. For \(4^2\): This expression is simply: \[ 4^2 = 16 \] This is also positive.

In summary:

• \(-4^2 = -16\) (negative)
• \((-4)^2 = 16\) (positive)
• \(4^2 = 16\) (positive)

Thus, the final simplified forms of the expressions can be classified as:

• \(-4^2\) is negative.
• \((-4)^2\) is positive.
• \(4^2\) is positive.