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

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

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})
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