Advanced MathEasy–MediumMultiplying with a negative exponent
Advanced Math practice question
For x ≠ 0, which expression is equivalent to x⁻² · x⁵?
- A. x³Correct
- B. x⁻¹⁰
- C. x⁷
- D. 1/x³
Answer: A. x³
Multiplying powers of the same base adds the exponents: −2 + 5 = 3, so x³.
Why the other answers are wrong
- B. x⁻¹⁰
- x⁻¹⁰ MULTIPLIES the exponents; multiplying powers adds them.
- C. x⁷
- x⁷ adds 2 + 5, ignoring the minus sign on the 2.
- D. 1/x³
- 1/x³ = x⁻³ has the wrong sign; −2 + 5 = +3.
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