Question

simplify: (13^2x+1 -5×169^x) / 9×169^x

Answer 1

[ 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