Wait, Those Are Different?
Which is larger?
A. 2 3 2
B. ( 2 3 ) 2
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3 solutions
2^3^2=2^9....................(a)
(2^3)^2=2^6.............................(b)
so,a>b
A = 2 3 2 = 2 9 = 5 1 2
B = ( 2 3 ) 2 = 8 2 = 6 4
5 1 2 = A > B = 6 4
Hence, our answer should be:
A
This would be stronger if you also addressed the mistake that people would tend to make, that is, assume that the order of operations is done the same in both cases.
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What I have done, is to show how to solve the question quickly and correctly (by simply following BIDMAS/BEDMAS, that is, starting with brackets, then indices/exponents ...).
What you are suggesting, is not to follow BIDMAS/BEDMAS, yet, be careful enough to end up with the correct solution.
Something like:
B = ( 2 3 ) 2 = 2 3 × 2 = 2 6 = 6 4
One might argue, which way is the stronger / more useful.
2 3 2 = 2 9
( 2 3 ) 2 = 2 6
2 9 > 2 6