Advanced MathEasy–MediumPower of a power then a quotient
Advanced Math practice question
For x ≠ 0, which expression is equivalent to (x⁵)² / x⁴?
- A. x⁶Correct
- B. x³
- C. x⁷
- D. x²
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
- 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
- x² would be x¹⁰ / x⁸. The denominator's exponent is 4.
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