Expanding a Fraction with Denominator 2 | Homework Solution

Thread starter Physicsissuef
Start date Jun 10, 2008
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Fraction

AI Thread Summary

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.

Jun 10, 2008

Physicsissuef

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: Jun 10, 2008

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Jun 10, 2008

BrendanH

Looks good to me

Jun 10, 2008

Defennder

Homework Helper

Yeah it appears ok. Odd question, though.

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