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

Question

-4^3
(-4)^3
4^3

Answer 1

Let's evaluate each expression step by step.

1. For \(-4^3\): \[ -4^3 = -(4^3) = -64 \] So, \(-4^3\) simplifies to \(-64\), which is negative.

2. For \((-4)^3\): \[ (-4)^3 = (-4) \times (-4) \times (-4) = 16 \times (-4) = -64 \] So, \((-4)^3\) simplifies to \(-64\), which is also negative.

3. For \(4^3\): \[ 4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64 \] So, \(4^3\) simplifies to \(64\), which is positive.

In summary:

• \(-4^3 = -64\) (negative)
• \((-4)^3 = -64\) (negative)
• \(4^3 = 64\) (positive)