Question

Simplify
7^n+2 - (6x7^n+1) /
(21x7^n) - (2 x7^n+1)​

Answer 1

Answer (2/140^n) -(1/5) = 2/140^n-1/5

Answer 2

$\frac{7^{n} + 2 - (6 \times {7}^{n} + 1)}{(21 \times {7}^{n} ) - (2 \times {7}^{n} + 1)} \\ = \frac{ {7}^{n} + 2 - 7 \times {7}^{n} }{21 \times {7}^{n} - 3 \times {7}^{n} } \\ = \frac{ {7}^{n} \times {7}^{n} - 5}{18 \times {7}^{n} \times {7}^{n} } \\ = \frac{ {7}^{2n} - 5}{126 ^{2n} }$