Question

can any body solve this problem ​

Answer 1

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$( \frac{4}{7} ) {}^{3m} \div ( \frac{4}{7} ) {}^{ - 6} = ( \frac{4}{7} ) {}^{ - 9}$

$(\frac{4}{7}) {}^{3m - ( - 6)} = (\frac{4}{7} ){ }^{ - 9}$

$( \frac{4}{7} ) {}^{3m + 6} = (\frac{4}{7}) {}^{ - 9}$

$3m + 6 = - 9 \\ 3m = - 9 - 6 \\ 3m = - 15 \\ m = \frac{ - 15}{3} \\ m = - 5$

m = -5