Question

Find x so that
$( \frac{5}{3} )^{ - 5} \times ( \frac{5}{3} ) ^{ - 11} = ( \frac{5}{3}) ^{8x}$
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Answer 1

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Answer 2

Answer:

$\large\sf\fbox\purple{ANSWER༄}$

$( \frac{5}{3} ) ^{ - 5} \times ( \frac{5}{3} ) ^{ - 11} = ( \frac{5}{3} ) ^{8x}$

$⇛( \frac{5}{3}) ^{ - 5 - 11} = ( \frac{5}{3} ) ^{8x}$

$⇛( \frac{5}{3} ) ^{ - 16} = ( \frac{5}{3} ) ^{ - 8}$

$⇛8x = - 16$

$⇛x = - \frac{16}{8} = - 2$