braiist can someome pls explain i dont know If n^x/n^y = n^2 for all n does not equal 0, which of the following must be true?

Question

braiist can someome pls explain i dont know

If n^x/n^y = n^2 for all n does not equal 0, which of the following must be true?

F. x + y = 2
G. x – y = 2
H. x * y = 2
J. x/y = 2
K. sqaure root xy = 2​

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Thu Thủy 4 years 2021-08-17T15:11:17+00:00 1 Answers 15 views 0

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  1. diemkieu
    0
    2021-08-17T15:12:35+00:00
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    Answer:

    G

    Step-by-step explanation:

    Using the rule of exponents

    \frac{a^{m} }{a^{n} } = a^{m-n}

    Consider the left side

    \frac{n^{x} }{n^{y} } = n^{x-y}, then

    n^{x-y} = n²

    Since bases on both sides are equal, equate the exponents

    x – y = 2 → G

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