16Hit1600
Advanced MathEasy–MediumDividing powers with the same base

Advanced Math practice question

For x ≠ 0, which expression is equivalent to x⁶ / x²?

  1. A. x⁴Correct
  2. B.
  3. C. x⁸
  4. D. x¹²

Answer: A. x⁴

When powers of the same base are divided, the exponents are subtracted: x⁶ / x² = x⁶⁻² = x⁴. (Six x's on top, two cancel with the two on the bottom, four remain.)

Why the other answers are wrong

B.
You divided the exponents, 6 ÷ 2 = 3. Dividing the POWERS means subtracting the exponents, not dividing them.
C. x⁸
You added the exponents, which is the rule for MULTIPLYING powers. Division subtracts.
D. x¹²
You multiplied the exponents, which is the rule for raising a power to a power. Division subtracts them.

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