Question

Solve this attachment ... ⬆️⬆️⬆️⬆️​

Answer 1

Answer:

GIVEN THAT :-

$\frac{ {9}^{n} \times {3}^{2} \times {( {3}^{ - \frac{n}{2} } )}^{ - 2} - {(27)}^{n} }{ {3}^{3m} \times {2}^{3} } = \frac{1}{27}$

=》

$\frac{ {3}^{2n + 2} \times {3}^{n} - {3}^{3n} }{ {3}^{3m} } = \frac{8}{24} \\ \\ = > \frac{ {3}^{3n + 2} - {3}^{3n} }{ {3}^{3m} } = \frac{8}{27} \\ \\ = > \frac{ {3}^{3n(8)} }{ {3}^{3m} } = \frac{8}{27} \\ \\ = > {3}^{3n - 3m} = {3}^{ - 3} \\ \\ = > 3n - 3m = - 3 \\ \\ = > m - n = 1$

HOPE YOU LIKE IT...

Answer 2

Answer is in the attachment ..