16Hit 1600
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.

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