5
AssignmentMultiple Choice

Simplifying Polynomial Expressions

Question 5 • VT-SAT-Math

Simplify –x(6x5)2(–2y6)(y).

Answer
A
–72x11y7
B
72x11y7
C
–12x11y7
D
12x11y7

Explanation

Interpret the expression as −x(6x⁵)²(−2y⁶)(y). Squaring 6x⁵ gives 36x¹⁰; multiplying the coefficients −1, 36, and −2 gives 72. Add exponents for matching bases: x¹ · x¹⁰ = x¹¹ and y⁶ · y¹ = y⁷, so the simplified expression is 72x¹¹y⁷, choice B.

AI-written and checked against the verified answer.

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