Question

simplify it guys fastly

Answer 1

5(3)^4n+4 - 3^4n+5 / 3 x 3^4n + (3)^4n

Taking 3^4n common

3^4n ( 5x81 - 243 ) / 3^4n ( 3 + 1)

We cut 3^4n

405 - 243 / 4

162/4

= 40.5

Answer 2

$\frac{ 5 \times {81}^{(n + 1)} - {3}^{4n + 5 } }{3 \times {3}^{4n} + {81}^{n} }$
$= \frac{ 5 \times {3}^{(4n + 4)} - {3}^{4n + 5} \: }{3 \times {3}^{4n} + {3}^{4n}}$
$take \: {3}^{4n} \: common \: on \: numerator \: and \: denominator$
$you \: will \: get \\ \frac{ {3}^{4n} (5 \times {3}^{4 } - {3}^{5}) }{ {3}^{4n} (3 + 1)} \: hence \: {3}^{4n } \: cancel \: \\ = \frac{ 162 }{4} \\ = 40.5 \\ hope \: this \: helps \: you$