Simplify ((25)^{frac{-1}{2}} times (27)^{frac{1}{3}} + (121)^{frac{-1}{2}} times (625)^{frac{-1}{4}})
- A.^{34}/_{55}
- B.^{9}/_{11}
- C.^{14}/_{5}
- D.^{3}/_{275}
Correct Answer: Option A
Explanation
(25)(^{frac{-1}{2}}) x (27)(^{frac{1}{3}}) + (121)(^{frac{-1}{2}}) x (625)(^{frac{-1}{4}})
5(^{2 times frac{-1}{2}}) x 3(^{3 times frac{1}{3}}) + 11(^{2 times frac{-1}{2}}) x 5(^{4 times frac{-1}{4}})
5(^{-1}) x 3(^1) x 11(^{-1}) x 5(^{-1})
(frac{1}{5} times frac{3}{1} + frac{1}{11} times frac{1}{5})
(frac{3}{5} + frac{1}{55} = frac{33+1}{55})
= (frac{34}{55})