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20 December, 22:50

Which expression is equivalent to 15a^8b^4/5a^4b?

3a^2b^4

3a^4b^3

10a^4b^3

10a^4b^4

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Answers (1)
  1. 21 December, 02:06
    0
    3 a^12 b^5

    Step-by-step explanation:

    Simplify the following:

    (15 a^8 b^4 a^4 b) / 5

    15/5 = (5*3) / 5 = 3:

    3 a^8 b^4 a^4 b

    3 a^8 b^4 a^4 b = 3 a^ (8 + 4) b^ (4 + 1):

    3 a^ (8 + 4) b^ (4 + 1)

    4 + 1 = 5:

    3 a^ (8 + 4) b^5

    8 + 4 = 12:

    Answer: 3 a^12 b^5
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