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})
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.