16Hit1600
Advanced MathEasy–MediumMultiplying with a negative exponent

Advanced Math practice question

For x ≠ 0, which expression is equivalent to x⁻² · x⁵?

  1. A. Correct
  2. B. x⁻¹⁰
  3. C. x⁷
  4. 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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