Question

$( \frac{7}{9} ) {}^{ - 11} \times ( \frac{9}{14} ) {}^{ - 9}$
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Answer 1

Step-by-step explanation:

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Answer 2

$( \frac{7}{9} ) {}^{ - 11} \times ( \frac{9}{14} ) {}^{ - 9}$

$( \frac{9}{7} ) {}^{11} \times ( \frac{14}{9} ) {}^{9}$

$\frac{{9}^{11} }{ {7}^{11} } \times \frac{{14}^{7} }{ {9}^{7} } = \frac{9 {}^{11} }{9 {}^{7} } \times \frac{ {14}^{7} }{ {7}^{11} }$

${14}^{7} = (2 \times 7) {}^{7}$

$= {2}^{7} \times {7}^{7}$

$\frac{ {9}^{11 - 7} \times {2}^{7} \times {7}^{7} }{ {7}^{11} }$

${9}^{4} \times {2}^{7} \times {7}^{ - 4}$

$\frac{ {9}^{4} \times 2{}^{ 7} }{ {7}^{4} }$