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Math Help - [SOLVED] Simplify using the law of exponents

  1. #1
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    [SOLVED] Simplify using the law of exponents

    Simplify using the law of exponents,where n is the positive integer.
    1)x^n . x^2n
    attempt
    x^n+2n = x^3n

    2)(x^n)^3n
    attempt
    x^n*3n =x^3n^2

    3)(x^3+n)(x^3n-1)
    attempt
    I dont't know how to do it

    Please tell me if my attempt are wrong and if they are please write in step so I can properly understand.

    Thank you,
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  2. #2
    MHF Contributor
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    Hi

    x^{n}\:x^{2n} = x^{n+2n} = x^{3n}

    \left(x^{n}\right)^{3n} = x^{n\cdot 3n} = x^{3n^2}

    x^{3+n}\:x^{3n-1} = x^{(3+n)+(3n-1)} = x^{4n+2}
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