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Math Help - Simplify equation with steps

  1. #1
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    Simplify equation with steps

    (64n^9)^2/3

    (5b^2c^1/4)^3
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  2. #2
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    Re: Simplify equation with steps

    Quote Originally Posted by jobbles85 View Post
    (64n^9)^2/3

    (5b^2c^1/4)^3
    Not showing steps, that's your job.

    You need to use the following index laws:

    \displaystyle \begin{align*} \left(a^m\right)^p &= a^{m \cdot p} \\ \\ \left(a \cdot b\right)^n &= a^n \cdot b^n  \end{align*}
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    Re: Simplify equation with steps

    Quote Originally Posted by Prove It View Post
    Not showing steps, that's your job.

    You need to use the following index laws:

    \displaystyle \begin{align*} \left(a^m\right)^p &= a^{m \cdot p} \\ \\ \left(a \cdot b\right)^n &= a^n \cdot b^n  \end{align*}
    so would the steps be..
    =64n9x2/3
    =64n^6
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  4. #4
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    Re: Simplify equation with steps

    Quote Originally Posted by jobbles85 View Post
    so would the steps be..
    =64n9x2/3
    =64n^6
    correction ...

    (64n^9)^{\frac{2}{3}} = 64^{\frac{2}{3}}n^6

    finish by simplifying the factor 64^{\frac{2}{3}} ...
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  5. #5
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    Re: Simplify equation with steps

    (64n^9)^2/3
    =642/3n^6
    =(3√64^2)(n^6)
    =(3√4096)(n^6)
    =16n^6

    God I have no clue what I'm doing

    (5b^2c^1/4)^3
    =(5)^3 (b^2)^3 (c^1/4)^3
    =125b^5c^3/4
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  6. #6
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    Re: Simplify equation with steps

    would have been really easy if you knew that 64 = 4^3 ... and it's not \pm

    last one is correct
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