4
QuizMultiple Choice

Polynomial Operations — Test

Question 4 • Algebra II

Which monomial is a perfect cube?

Answer
A
32 x to the 12th power
B
64 x to the 6th power
C
16 x to the 6th power
D
27 x to the 8th power

Explanation

A monomial is a perfect cube when its coefficient is a perfect cube and each variable’s exponent is divisible by 3. In choice A, 64 = 4³ and x⁶ = (x²)³, so 64x⁶ = (4x²)³. The other choices fail at least one of these conditions.

AI-written and checked against the verified answer.

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