Question

please answer the question

Answer 1

$27 ^{ - n} \times 81 ^{2n} = 729 \\ (3) ^{ - 3n} \times (3)^{8n} = 3 ^{6 } \\ 3^{5n} = 3 ^{6} \\ 5n = 6 \\ n = \frac{6}{5}$

Answer 2

27^-n. * 81^2n. = 729


i.e (81^2n) / (21^n)=729


(27^2n * 3^2n) / (27^2n) =729


3^2n =3^6



compare thair powers 2n=6
n=3