9
QuizMultiple Choice

N/A — Exam

Question 9 • Algebra II

Which expression is a perfect cube?

Answer
A
12 x to the 27th power y to the 125th power
B
64 x to the 27th power y to the 125th power
C
64 x to the 15th power y to the 18th power
D
12 x to the 12th power y to the 18th power

Explanation

A monomial is a perfect cube when its numerical coefficient is a perfect cube and every variable’s exponent is a multiple of 3. In choice B, 64 = 4³, and both 27 and 125 are multiples of 3, so 64x²⁷y¹²⁵ is a perfect cube. The other choices either have a coefficient that is not a perfect cube or an exponent that is not divisible by 3.

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