14
QuizMultiple Choice

N/A — Exam

Question 14 • Algebra II

Which expression is equivalent to negative 6 times x cubed times x times y squared times y to the 6th power ?

Answer
A
negative 6 x to the 4th power y to the 12th power
B
negative 6 x to the 4th power y to the 8th power
C
negative 6 x squared y to the 12th power
D
negative 6 x cubed y to the 8th power

Explanation

When multiplying powers with the same base, add their exponents. For x cubed times x, add 3 + 1 to get x to the 4th power; for y squared times y to the 6th power, add 2 + 6 to get y to the 8th power. Keep the coefficient −6, so the equivalent expression is −6x⁴y⁸, choice B.

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