Which monomial is a perfect cube?

A monomial is a perfect cube when its coefficient is a perfect cube and each variable’s exponent is a multiple of 3. In choice A, 27 = 3³ and 15 = 3 × 5, so 27x¹⁵ = (3x⁵)³. The other choices each have either a coefficient or an exponent that does not meet these conditions.

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