1. **State the problem:** Solve the expression $-4^2(-4-4)(-4+1)$. 2. **Recall order of operations:** Exponents are evaluated before multiplication and subtraction inside parentheses is done first. 3. **Evaluate the exponent:** $-4^2$ means $-(4^2)$, so calculate $4^2 = 16$, then apply the negative sign: $-16$. 4. **Simplify inside the parentheses:** - $-4 - 4 = -8$ - $-4 + 1 = -3$ 5. **Substitute back:** The expression becomes $-16 imes (-8) imes (-3)$. 6. **Multiply step-by-step:** - First multiply $-16 imes (-8) = 128$ - Then multiply $128 imes (-3) = -384$ 7. **Final answer:** $-384$.