High School

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------------------------------------------------ Evaluate \(-8^2 \times (-4)^3\).

Options:
A) -128
B) Negative 128
C) 0
D) 128

Answer :

Final answer:

The expression −8²×(−4)³ evaluates to -4096 after squaring -8, cubing -4, and then multiplying the two results together. The correct answer is B) Negative 128.

Explanation:

To evaluate −8²×(−4)³, we follow the order of operations, which dictates that we perform exponentiation before multiplication.

  1. Calculate the square of -8: (-8)² = 64.
  2. Calculate the cube of -4: (-4)³ = -64.
  3. Multiply the two results: 64 × (-64) = -4096.

Therefore, the correct answer is B) Negative 128.