Advanced MathEasy–MediumNegative exponent
Advanced Math practice question
For x ≠ 0, which expression is equivalent to x⁻³?
- A. 1/x³Correct
- B. −x³
- C. −3x
- 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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