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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Here
\(x \geq 0\)
if x = 0 , then QTY A = QTY B
if x = 2, then QTY A < QTY B
Hence option is D
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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Let's test some values
case i: x = 1 We get: QUANTITY A: \(x^{10}=1^{10}=1\) QUANTITY B: \(x^{100}=1^{100}=1\) In this case, the two quantities are equal
case i: x = 2 We get: QUANTITY A: \(x^{10}=2^{10}\) QUANTITY B: \(x^{100}=2^{100}\) In this case, Quantity B is greater
Answer: D
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