If m=−2, What Is −m^(−m)? GMAT Problem Solving

Question: If m=−2, what is −m^(−m)?

1. −16
2. −4
3. −1/4
4. 1/4
5. 4

“If m=−2, what is −m^(−m)?''- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This GMAT Quantitative question has been taken from the book "GMAT Official Guide 2021". GMAT quant section measures the candidates’ content in utilising their calculative skills and logical thinking in solving mathematical problems. The quant section mainly includes arithmetic, algebra and geometry problems that need to be interpreted with accurate quantitative learning. The candidates must possess basic math concepts to solve GMAT Problem Solving questions. The GMAT Quant topic in the problem-solving part cites certain advanced mathematical problems that the candidates must solve with their calculative skills.

Solution and Explanation:

There is only one solution to this problem.

Approach Solution 1:

The problem statement informs that,

Given:

• m=−2

Find out:

• The value of −m^(−m)

As we know the useful property that is -k = (-1) (k)
Therefore, we can derive the equation −m^(−m) as (−1)(m)^ {(−1)(m)}

Therefore, by putting m= -2 into the equation, we get,
(−1)(−2)^{(−1)(−2)}
=(−1)(−2)^2
=(−1)(4)
=−4

Hence the value of −m^(−m) is -4.

Correct Answer: (B)

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