Simplify \((25)^{\frac{-1}{2}} \times (27)^{\frac{1}{3}} + (121)^{\frac{-1}{2}} \times (625)^{\frac{-1}{4}}\)
-
34/55
- 9/11
- 14/5
- 3/275
The correct answer is: 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\(^{-1}\)
\(\frac{1}{5} \times \frac{3}{1} + \frac{1}{11} \times \frac{1}{5}\)
\(\frac{3}{5} + \frac{1}{55} = \frac{33+1}{55}\)
= \(\frac{34}{55}\)