21
QuizMultiple Choice

N/A — Exam

Question 21 • Algebra I

Which number in the monomial 125 x to the 18th power y cubed z to the 25th power needs to be changed to make it a perfect cube?

Answer
A
125
B
18
C
25
D
3

Explanation

For a monomial to be a perfect cube, each variable’s exponent must be a multiple of 3. The exponents 18 and 3 already meet this rule, and 125 is itself a perfect cube (5³). But 25 is not divisible by 3, so the exponent on z needs to be changed. The correct choice is 25.

AI-written and checked against the verified answer.

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