ExplanationThe best strategy to solve these problems is by plugging values

Put a = -1 and b = 1, then we have

Quantity A is \(-1^{10} = 1\)

Quantity B is \(1^5 =1\)

Clearly, the quantities are equal. Now put a = -2 and b = 1

Quantity A is \(-2^{10} = 1024\)

Quantity B is \(1^5 =1\)

Now Quantity A is greater. Clearly, both A and C cannot be right at the same time so

option D is the correct choice!
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Sandy

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