Question

simplify the following

Answer 1

7^n ( 7²-3x7)
-----------------
7^n ( 20-2)

49-21 / 18

28/18. = 14/9

Answer 2

Answer:

$\frac{14}{9}$

Step-by-step explanation:

To Simplify : $\frac{7^{n+2}-3 \times 7^{n+1}}{20 \times 7^n - 2 \times 7^{n}}$

Solution :

$\frac{7^{n+2}-3 \times 7^{n+1}}{20 \times 7^n - 2 \times 7^{n}}$

$\frac{7^{n+1}(7-3)}{7^n(20-2}}$

$\frac{7^{n+1}(4)}{7^n(18}}$

$\frac{28}{18}$

$\frac{14}{9}$

Hence $\frac{7^{n+2}-3 \times 7^{n+1}}{20 \times 7^n - 2 \times 7^{n}}$ is $\frac{14}{9}$