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Feb 03, 2025

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If 256 4 =n and −27 3 =m , then m + n could equal which of the following?

I. 1

II. -1

III. 7

I only

I and II

I and III

III only

I, II, and III
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PRESENTED BY :
Scott Woodbury-Stewart Founder and Expert GMAT Instructor Scott Woodbury-Stewart Founder and Expert GMAT Instructor

Text Solution:

When solving this question, we may recall the following rule:

In general, if n is even, x n n = x , and if n is odd, x n n =x .

Thus, we know the following:

⇒ 256 4 = 4 4 4 = 4 =4=n

⇒ −27 3 = −3 3 3 =−3=m

There, the only value of m + n is 4 – 3 = 1

Correct answer: A
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