16Hit1600
Advanced MathEasy–MediumPower of a power divided by a power

Advanced Math practice question

For x ≠ 0, which expression is equivalent to (x²)³ / x⁴?

  1. A. Correct
  2. B. x⁵
  3. C. x
  4. D. x¹⁰

Answer: A. x²

(x²)³ = x⁶. Then x⁶/x⁴ = x⁶⁻⁴ = x².

Why the other answers are wrong

B. x⁵
x⁵ ADDS 2 and 3 for the power of a power (giving x⁵ before dividing... then x⁵/x⁴ = x); the exponents multiply: 2 × 3 = 6.
C. x
x comes from x⁵/x⁴, using 2 + 3 instead of 2 × 3.
D. x¹⁰
x¹⁰ adds the exponents 6 and 4 instead of subtracting.

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