[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9