The value of \( \Large \left[\left( \frac{p}{q} \right)^{-1} \right] ^{-1}\) is


A) \(\Large \frac{p}{q} \)

B) \(\Large \frac{q}{p} \)

C) \(\Large - \frac{p}{q} \)

D) \(\Large - \frac{q}{p} \)

Correct Answer:
A) \(\Large \frac{p}{q} \)

Description for Correct answer:

\( \Large \left[ \left(\frac{p}{q} \right)^{-1} \right]^{-1} \)

=\( \Large \left[\frac{1}{p/q} \right]^{-1} \)

=\( \Large \left[ \frac{q}{p} \right]^{-1}\)

=\( \Large \frac{1}{q/p}\)

=\( \Large \frac{p}{q} \)


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