6
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes — Quiz

Question 6 • Algebra II

Which expression is equivalent to cube root of 343 x to the 9th power y to the 12th power z to the 6th power ?

Answer
A
7 x cubed y to the 4th power z squared
B
7 x cubed y to the 6th power z squared
C
49 x cubed y to the 6th power z squared
D
49 x cubed y to the 4th power z squared

Explanation

Take the cube root of each factor: ∛343 = 7, ∛(x⁹) = x³, ∛(y¹²) = y⁴, and ∛(z⁶) = z². Multiplying these results gives 7x³y⁴z², which is choice C.

AI-written and checked against the verified answer.

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