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(1/5)^(−1)(1/3)^8−(1/4)^(−1)(1/3)^6(1/9)

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GeminiHeat
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(1/5)^(−1)(1/3)^8−(1/4)^(−1)(1/3)^6(1/9) [#permalink] New post   04 May 2021, 22:03
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\((\frac{1}{5})^{(−1)}(\frac{1}{3})^8−(\frac{1}{4})^{(−1)}(\frac{1}{3})^6(\frac{1}{9})= \)


A. \((\frac{1}{3})^{−8}\)

B. \((\frac{1}{3})^6\)

C. \((\frac{1}{3})^9\)

D. \(9^{−6}\)

E. \(9^{−4}\)
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E
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KarunMendiratta
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Re: (1/5)^(−1)(1/3)^8−(1/4)^(−1)(1/3)^6(1/9) [#permalink] New post   05 May 2021, 10:43
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GeminiHeat wrote:
\((\frac{1}{5})^{(−1)}(\frac{1}{3})^8−(\frac{1}{4})^{(−1)}(\frac{1}{3})^6(\frac{1}{9})= \)


A. \((\frac{1}{3})^{−8}\)

B. \((\frac{1}{3})^6\)

C. \((\frac{1}{3})^9\)

D. \(9^{−6}\)

E. \(9^{−4}\)


\((\frac{1}{5})^{(−1)}(\frac{1}{3})^8−(\frac{1}{4})^{(−1)}(\frac{1}{3})^6(\frac{1}{9})\)

\(\frac{5}{3^8} - \frac{4}{3^8}\)

\(\frac{1}{3^8} (5 - 4) = \frac{1}{3^8}\)

Hence, option E
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Re: (1/5)^(−1)(1/3)^8−(1/4)^(−1)(1/3)^6(1/9) [#permalink] New post   30 Aug 2021, 03:24
The question stem needs to be more clear here . If it is (1/5) ^ -1 , or if its is (1/5) * -1 .

You get the right ans only when u consider the former case as the later case is not applicable
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Re: (1/5)^(−1)(1/3)^8−(1/4)^(−1)(1/3)^6(1/9) [#permalink]
30 Aug 2021, 03:24
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