Advanced MathEasy–MediumDividing powers with the same base
Advanced Math practice question
For x ≠ 0, which expression is equivalent to x⁶ / x²?
- A. x⁴Correct
- B. x³
- C. x⁸
- 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. x³
- 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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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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