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Math Help - Rational Exponents

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    Re: Rational Exponents

    I assume the volume is \displaystyle \begin{align*} \frac{4}{3}\pi^3 \end{align*}. Substitute this as \displaystyle \begin{align*} V \end{align*} into the formula \displaystyle \begin{align*} S = \pi ^{\frac{1}{3}}\left(6V\right)^{\frac{2}{3}} \end{align*} and simplify.
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    Re: Rational Exponents

    When you substitute that in as V, it comes out as 57.81 ? How do you write that in terms of π^1/3 ? Please show the steps in solving
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    Re: Rational Exponents

    Quote Originally Posted by Courtx33333 View Post
    When you substitute that in as V, it comes out as 57.81 ? How do you write that in terms of π^1/3 ? Please show the steps in solving
    You need to use the following index laws:

    \displaystyle \begin{align*} a^m \cdot a^n &= a^{m + n} \\ \\ \left(a^n\right)^p &= a^{n \cdot p} \\ \\ \left(a \cdot b \right)^n &= a^n \cdot b^n  \end{align*}
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