Advanced MathEasy–MediumCubing a monomial
Advanced Math practice question
The expression (2x³)³ is equivalent to a·x⁹ for a constant a. What is the value of a?
Answer: 8
The coefficient is cubed along with the variable: 2³ = 8, giving 8x⁹.
Common wrong answers
- If you answered 2
- The outer exponent applies to the 2 as well: 2³ = 8.
- If you answered 6
- 6 multiplies 2 · 3; the coefficient must be raised to the third power: 2³ = 8.
- If you answered 9
- 9 is the exponent on x (3 · 3), not the coefficient.
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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