Question

$find \: m \: if(( \frac{2}{13} ) {}^{ - 3} ) {}^{m} \: = ( \frac{2}{13} ) {}^{m} \div ( \frac{2}{13} ) {}^{1}$
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Answer 1

Step-by-step explanation:

${(( { \frac{2}{13}) }^{ - 3} )}^{m} = { \frac{2}{13} }^{m} \div { \frac{2}{13} }^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: as \: bases \: are \: \: same \: then \: power \: will \: also \: same > - 3m = m - 1 > 2m = - 1 > m = \frac{- 1}{2}$