16Hit1600
Advanced MathEasy–MediumPower of a power then a quotient

Advanced Math practice question

For x ≠ 0, which expression is equivalent to (x⁵)² / x⁴?

  1. A. x⁶Correct
  2. B.
  3. C. x⁷
  4. D.

Answer: A. x⁶

First the power of a power: (x⁵)² = x¹⁰. Then divide: x¹⁰ / x⁴ = x¹⁰⁻⁴ = x⁶.

Why the other answers are wrong

B.
x³ comes from adding 5 + 2 = 7 and then subtracting 4. A power of a power MULTIPLIES the exponents: 5 × 2 = 10.
C. x⁷
x⁷ is x¹⁰ / x⁴ done as 10 − 3. The divisor is x⁴, so subtract 4.
D.
x² would be x¹⁰ / x⁸. The denominator's exponent is 4.

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