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

Mathematics
JAMB 2020

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

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

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

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

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

There is an explanation video available below.


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