Question

Plzzz answer this question ASAP ....for a 7th grader.....plzzz.thanxs.....

Answer 1

Answer:

$\frac{ {4}^{n - 2} \times {2}^{n - 5} \times 6 \times {2}^{n + 3} }{3 \times {6}^{2} } = \frac{2}{9} \\ \frac{ { ({2}^{2} )}^{n - 5} \times {2}^{n - 5} \times 6 \times {2}^{n + 3}}{3 \times {6}^{2} } = \frac{2}{9} \\ \frac{ {2}^{2n - 10} \times {2}^{n - 5} \times {2}^{n + 3} }{3 \times 6} = \frac{2}{9} \\ \frac{ {2}^{2n - 10 + n - 5 + n + 3} }{18} = \frac{2}{9} \\ {2}^{2n - 12 + 2n} = 4 \\ {2}^{4n - 12} = {2}^{2} \\ comparing \: both \: side \\ 4n - 12 = 2 \\ 4n = 14 \\ n = \frac{7}{2} \\ hope \: it \: helps \: u....$