| \[{{\left( \frac{6}{7} \right)}^{-2}}\times {{\left( \frac{7}{6} \right)}^{-2}}\] |
A) \[\frac{7}{6}\]
B) \[1\]
C) \[\frac{-6}{7}\]
D) \[\frac{6}{7}\]
Correct Answer: B
Solution :
\[{{\left( \frac{6}{7} \right)}^{-2}}\times {{\left( \frac{7}{6} \right)}^{-2}}\]\[={{\left( \frac{7}{6} \right)}^{2}}\times {{\left( \frac{6}{7} \right)}^{2}}=\frac{{{7}^{2}}}{{{6}^{2}}}\times \frac{{{6}^{2}}}{{{7}^{2}}}=1\]
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