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30 October, 10:51

Which expression is equivalent to (x^6y^8) ^3/x^2y^2?

options: x^7 y^9

x^9 y^12

x^12 y^18

x^16 y^22

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Answers (1)
  1. 30 October, 10:53
    0
    For this case we have the following expression:

    (x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2

    Rewriting and for power properties we have:

    (x ^ 18y ^ 24) / x ^ 2y ^ 2

    (x ^ (18-2) y ^ (24-2))

    (x ^ 16y ^ 22)

    Answer:

    The equivalent expression is given by:

    (x ^ 16y ^ 22)
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