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.
Related questions
GMAT DS questions should be paced at:The sum of 5 consecutive integers is always divisible by:If x² = 36, what can we conclude about x?A GMAT PS question asks: 'What is x if 3x + 5 = 23?' Options: 4, 5, 6, 7. The fastest apprOn a percentage question with abstract values, the recommended smart-number to assume is:Is 1,287 divisible by 3?In a GMAT DS question, what is the FIRST step?In GMAT DS, answer choice (A) is selected when: