Question

find the value:
$\frac{2}{343 ^{ \frac{ - 2}{3} } } + \frac{1}{216 ^ { \frac{ - 2}{3} } } + \frac{3}{625 ^{ \frac{ - 1}{4} } }$
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Answer 1

Refer to the image below:

Answer 2

$\Large \mathfrak {\underline {\underline{ Solution : }}} \\ \\ \sf \frac{2}{343 ^{ \frac{ - 2}{3} } } + \frac{1}{216 ^ { \frac{ - 2}{3} } } + \frac{3}{625 ^{ \frac{ - 1}{4} } } \\ \\ \Rightarrow \sf \frac{2}{{(7 {}^{3})}^{ \frac{ - 2}{3} } } + \frac{1}{ {({6}^{3})}^{ \frac{ - 2}{3} } } + \frac{3}{ {({5}^{4})}^{ \frac{ - 1}{4} } } \\ \\ \Rightarrow \sf \frac{2}{7 {}^{ - 2} } + \frac{1}{ {6}^{ - 2} } + \frac{3}{ {5}^{ - 1} } \\ \\ \Rightarrow \sf 98 + 36 + 15 \\ \\ \Rightarrow \sf 149$