If 1125 = 3^m × 5^n ;find the value of m and n.​

Question

If 1125 = 3^m × 5^n ;find the value of m and n.​

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Dulcie 5 years 2021-07-18T17:56:19+00:00 1 Answers 16 views 0

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  1. Adela
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    2021-07-18T17:58:09+00:00
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    9514 1404 393

    Answer:

      m = 2

      n = 3

    Step-by-step explanation:

    1125 = 9·125 = 3^2 · 5^3

      m = 2

      n = 3

    _____

    Additional comment

    Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

      1125/5 = 225

      225/5 = 45

      45/5 = 9

      9/3 = 3

      3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.

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