16Hit1600
Advanced MathEasy–MediumNegative exponent

Advanced Math practice question

For x ≠ 0, which expression is equivalent to x⁻³?

  1. A. 1/x³Correct
  2. B. −x³
  3. C. −3x
  4. D. 1/(3x)

Answer: A. 1/x³

A negative exponent means the reciprocal of the positive power: x⁻³ = 1/x³. The sign in the exponent moves the power to the denominator; it doesn't make the value negative.

Why the other answers are wrong

B. −x³
−x³ is the negative of x cubed. A negative EXPONENT doesn't negate the value; it takes the reciprocal.
C. −3x
−3x multiplies x by −3. The exponent −3 is a power, not a coefficient.
D. 1/(3x)
1/(3x) has 3 as a multiplier in the denominator. The 3 is an exponent: x is cubed, then flipped.

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