Expanding a Fraction with Denominator 2 | Homework Solution

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To expand the fraction 1/√[n]{2^5} to have a denominator of 2, the solution involves multiplying by √[n]{2^(n-5)} over itself. This results in the expression √[n]{2^(n-5)}/2. The proposed solution is confirmed as correct by participants in the discussion. The conversation notes the unusual nature of the question but ultimately agrees on the validity of the method used.
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Homework Statement



Expand the fraction \frac{1}{\sqrt[n]{2^5}}, for n \in \mathbb{N} and n \geq 2, to have denominator 2.

Homework Equations

The Attempt at a Solution



\frac{1}{\sqrt[n]{2^5}} \circ \frac{\sqrt[n]{{2}^{n-5}}}{\sqrt[n]{{2}^{n-5}}}

\frac{\sqrt[n]{{2}^{n-5}}}{2}

Is this correct?
 
Last edited:
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Looks good to me
 
Yeah it appears ok. Odd question, though.
 

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