Solve 2/5(sqrt(3)^5)=18sqrt(3)/5 | Math Problem Help

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The discussion revolves around solving the equation 2/5(sqrt(3)^5) = 18sqrt(3)/5. Participants explore expressing sqrt(3)^5 in terms of a rational exponent and seek clarification on the relationship between the two sides of the equation. There is a suggestion to simplify the equation by dividing out common terms to prove the identity. The conversation emphasizes the need for a clear understanding of the properties of exponents. Ultimately, the goal is to demonstrate the equality between the two expressions.
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can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks
 
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Can you write \sqrt{3}^5 as 3^n for some rational, n?

I'm moving this to precalc HW forum.
 
no, i can't find n.

also, this isn't a homework or school related question. I can't see why a warning was necessary.
 
\sqrt{3} is three raised to what power?
 
alpha01 said:
can someone please show how 2/5(sqrt(3)^5) = 18sqrt(3) / 5

thanks

You can also go the other way around, and divide out as much common terms from both sides as possible. Then see if you can prove the remaining identity.
 

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