If A and B are two positive even integers, which of the following will be the greatest?
- (-2A)^B
- -2A²B
- Both are equal
- 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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