A) \[\frac{3}{7}\]
B) \[\frac{7}{3}\]
C) \[1\frac{3}{7}\]
D) \[2\frac{2}{7}\]
Correct Answer: A
Solution :
\[\frac{{{(234)}^{0.13}}\times {{(243)}^{0.07}}}{{{7}^{0.25}}\times {{(49)}^{0.75}}\times {{(343)}^{0.2}}}\] \[=\frac{{{({{3}^{5}})}^{0.13}}\times {{({{3}^{5}})}^{0.07}}}{{{7}^{0.25}}\times {{({{7}^{2}})}^{0.75}}\times {{({{7}^{3}})}^{0.2}}}\] \[=\frac{{{3}^{0.65+0.35}}}{{{7}^{0.25+0.15+0.60}}}=\frac{3}{7}\]
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