What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?
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Correct Answer: Option C
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 \(\frac{5}{1}\)
= 1
\(\frac{27}{5^1}\)(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 \(\frac{5}{1}\)
= 1