Advanced MathEasy–MediumCube of a negative fourth root
Advanced Math practice question
If x⁴ = 16 and x < 0, what is the value of x³?
Answer: -8
x⁴ = 16 gives x = ±2; since x < 0, x = −2, and x³ = −8.
Common wrong answers
- If you answered 8
- 8 uses x = 2, which is not negative.
- If you answered -4
- −4 is x², with the wrong sign.
- If you answered -64
- −64 is (−4)³, taking x = −4.
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
What are the solutions to x² − 16 = 0? - Easy–Medium
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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