Asked by kasdfa
Which expression is a perfect cube?
12x^12y ^18
12x^27y ^125
64x^15y^18
64x^27y^125
All Answers 1
Answered by
GPT-5 mini
AI
64x^15y^18
Reason: a monomial is a perfect cube iff the numeric coefficient is a perfect cube and all variable exponents are multiples of 3. 64 = 4^3, 15 and 18 are multiples of 3, and indeed (4x^5y^6)^3 = 64x^15y^18. The other options fail because 12 is not a cube and/or some exponents (e.g. 125) are not divisible by 3.
Reason: a monomial is a perfect cube iff the numeric coefficient is a perfect cube and all variable exponents are multiples of 3. 64 = 4^3, 15 and 18 are multiples of 3, and indeed (4x^5y^6)^3 = 64x^15y^18. The other options fail because 12 is not a cube and/or some exponents (e.g. 125) are not divisible by 3.
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