Advanced MathHardCoefficient and exponent of a cubed monomial
Advanced Math practice question
The expression (3x²)³ can be written as axᵇ, where a and b are constants. What is the value of a + b?
Answer: 33
(3x²)³ = 27x⁶, so a + b = 27 + 6 = 33.
Common wrong answers
- If you answered 11
- 11 uses 3x⁸ or 9 + 2, not cubing the 3 or the exponent correctly.
- If you answered 14
- 14 uses 9x⁵, squaring the 3 and adding the exponents.
- If you answered 30
- 30 uses 27 + 3.
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