Simplification of factor expresion

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The discussion revolves around simplifying the expression \(\frac{px^{p-1}}{q(x^{p/q})^{q-1}}\). The correct answer is \(\frac{px^{p/q-1}}{q}\), but the user struggles with their solution attempt. They realize that they mistakenly kept an \(x\) in the denominator that should have been moved to the numerator. This oversight led to confusion in reaching the correct simplification. The user expresses frustration over this simple yet critical error.
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Homework Statement



\frac{px^{p-1}}{q(x^{p/q})^{q-1}}

The answear in the book:

\frac{px^{p/q-1}}{q}

The Attempt at a Solution



(1) \frac{p*x^{p}*x^{-1}}{q*(x^{p/q})^{q}*(x^{p/q})^{-1}}

(2) \frac{px^{p/q}}{qx}

Where is my mistake?

P.S. I omited some steps that seemed pretty straight farward.
 
Last edited:
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I see it now ... the x in the denominator has to go to the top ... what an inffuritingly imbecile mistake
 

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