SSAT Math Question 227: Answer and Explanation

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Question: 227

1. Simplify the variable expression: (–2x²y⁵)³

A. –2x⁵y⁸
B. –2x⁶y¹⁵
C. –6x⁶y¹⁵
D. –8x⁶y¹⁵

Correct Answer: D

Explanation:

The answer is D

The power applies to everything within the parentheses. A negative number raised to an odd power yields an odd result: (-2)³ = -8. When exponential expressions are raised to a power, multiply the exponents. Thus, (x²)³ = x⁶, and (y⁵)³ = y¹⁵.

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