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What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

Mathematics
JAMB 1991

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

  • A. 5
  • B. 3
  • C. 1
  • D. \(\frac{1}{25}\)
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Correct Answer: Option D
Explanation

\(\frac{27}{5^1}\)(3)-3 x \(\frac{(1)^{-1}}{5}\) = \(\frac{27}{5}\) x \(\frac{1}{3^3}\) x \(\frac{1}{\frac{1}{5}}\)

= \(\frac{27}{5}\) x \(\frac{1}{27}\) x \(\frac{1}{5}\)

=  \(\frac{1}{25}\)


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