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QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 2 • TX-Algebra II

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

Answer
A
3
B
18
C
25
D
125

Explanation

For a monomial to be a perfect cube, each variable’s exponent must be divisible by 3, and the coefficient must be a perfect cube. The coefficient 125 is already a perfect cube (5³), while the exponents 18 and 3 are divisible by 3. The exponent 25 on z is not divisible by 3, so that number needs to change. The correct choice is 25.

AI-written and checked against the verified answer.

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