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13 January, 07:21

What is the value of the power a if 5^a = 1/125

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Answers (2)
  1. 13 January, 09:25
    0
    a = - 3.

    Step-by-step explanation:

    5^a = 1/125

    1/125 = 1 / 5^3

    = 5^-3

    5^a = 5^-3

    so a = - 3.
  2. 13 January, 10:33
    0
    a = - 3

    Step-by-step explanation:

    5^a = 1/125

    The fraction 1/125 can be written as a power with base 5.

    5^a = 5^ (-3)

    Cancel the same bases on both sides.

    a = - 3
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