The discussion focuses on simplifying the expression $$10π \left( \frac V {4π} \right)^{2/3}$$ and clarifying the confusion between the variables v and V. Participants emphasized the importance of correctly handling the term $$10π$$ and demonstrated that it can be expressed as $$((10π)^{3/2})^{2/3}$$ for simplification. The conversation also highlighted the equivalence of $$ (a)^{\frac 2 3}$$ to $$ (a^2)^{\frac 1 3}$$ as a key step in the simplification process.
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It took me a little while to understand what you're trying to do. At first I thought you were trying to solve the equation above. Then I realized that the goal was to simplify the expression on the left side, above.umzung said:$$10π \left( \frac V {4π} \right)^{2/3} = 5\sqrt[3] {{V^2}\frac π 2}$$
One thing to realize is that ##(a)^{\frac 2 3}## is equal to ##(a^2)^{\frac 1 3}##. Can you start simplifying based on this hint?umzung said:Not sure how to deal with the ##10π## and how we get ##\frac π 2##.