9
QuizMultiple Choice

Sum and Difference of Two Cubes — Quiz

Question 9 • Algebra II

Which expression is a perfect cube?

Answer
A
s to the 64th power
B
x to the 8th power
C
m to the 28th power
D
y to the 24th power

Explanation

A power is a perfect cube when its exponent is divisible by 3, since it can be written as the cube of another power. The exponent 24 is divisible by 3: y^24 = (y^8)^3. Therefore, y to the 24th power is a perfect cube.

AI-written and checked against the verified answer.

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