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?
- A. x²Correct
- B. x⁵
- C. x
- 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.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
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Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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