16Hit1600
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?

  1. A. 4Correct
  2. B. 16
  3. C. 4x²
  4. 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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