Advanced MathVery hardProduct of a negative power and a positive power
Advanced Math practice question
For x ≠ 0, which of the following is equivalent to (2x)⁻² · (4x)²?
- A. 4Correct
- B. 16
- C. 4x²
- D. 1/4
Answer: A. 4
(2x)⁻² = 1/(4x²) and (4x)² = 16x², so the product is 16x²/(4x²) = 4.
Why the other answers are wrong
- B. 16
- This forgets to divide by (2x)².
- C. 4x²
- The x² factors cancel.
- D. 1/4
- This inverts the correct answer.
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