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24 September, 03:08

Simplify (1/36) ^n=216^n+5

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  1. 24 September, 03:19
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    Answer: - 2

    Step-by-step explanation:

    (1/36) ^n = 216^n+5

    (1/6^2) ^n = (6^3) ^n+5

    (6^-2) ^n = (6^3) ^n+5

    Opening the brackets

    6^-2n = 6^3n+15

    -2n = 3n + 15

    collecting like terms

    -2n - 3n = 15

    -5n = 15

    divide both sides by - 5

    n = 15/-5

    n = - 3
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