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Since the question is saying that X & Y are non negative integers then both can not be ZERO. Although ZERO is integer however it can neither be classified as +ve or -Ve.
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Since the question is saying that X & Y are non negative integers then both can not be ZERO. Although ZERO is integer however it can neither be classified as +ve or -Ve.

x and are non-negative integers, means they are not negative; hence, they can be 0 or positive.
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Clearly x and y are non-negative integers indicating x and y can be 0,1,2,3....

A. 7^x = 13^y indicates both of them can only be same if the 7^0 and 13^0 is there because any other exponential integer will not match at all since there is no common factor. BCE out.

B. 3^x =9^y. Here x can be 4 and y can be 2. x can be be 0 and y be 0. So we get xy= 8 and 0. Two different values of xy. E is out.

A is the answer.

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