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

Correct answer is A

(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 $^{-1}$
$\frac{1}{5} \times \frac{3}{1} + \frac{1}{11} \times \frac{1}{5}$
$\frac{3}{5} + \frac{1}{55} = \frac{33+1}{55}$
= $\frac{34}{55}$

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