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If A and B are two positive even integers, which of the following will be the greatest?
  1. (-2A)^B
  2. -2A²B
  3. Both are equal
  4. Cannot be determined
Explanation

Given:

A = positive even integer (2,4,6...)

B = positive even integer (2,4,6...)

Check both:

1) (-2A)^B

Base is -2A = negative

Power B = even

Negative ^ Even = Positive

So (-2A)^B = +(2A)^B = Positive number

2) -2A²B

= -2 x A² x B

= Negative number

Positive is always greater than Negative.

So (-2A)^B is greatest.


Last verified on 22-10-2026

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