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Which of the following statements is **true**?

A$(-3)^{2} = -9$
B$-3^{2} = -9$
C$(-3)^{2} = -3^{2}$
D$-3^{2} = 9$
Answer & Solution
Correct answer: B. $-3^{2} = -9$
**Order-of-operations distinction**: without parentheses, the unary minus is applied **after** the exponent. - $-3^{2} = -(3^{2}) = -(9) = -9$. ✓ ($\Rightarrow$ B) - $(-3)^{2} = (-3)(-3) = +9$. So $(-3)^{2} = +9$ and $-3^{2} = -9$. They are **not** equal. - Trap A is the opposite-sign mistake. - Trap C falsely equates the two. - Trap D misorders the operations. This distinction (parentheses change exponent grouping) is a recurring GRE quant trap.
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