Should we not check with deciamls values here? Also, how to calculate 2^2.5?

GRE Quant Problem Solving
1

k≥2, a>0, b>0

Quantity A
(a+b)^k

Quantity B
a^k + b^k

2

You can yes, and

2^{2.5} = 2^{5/2} = (\sqrt{2})^5
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