Question

(2 la puterea 3n+1×9 la puterea n+8 la puterea n 3 la puterea 2n+1+6 la puterea 2n×2 la puterea n+3)÷13

Answer 1

( 2³ⁿ⁺¹x 9ⁿ + 8ⁿ x 3²ⁿ⁺¹ + 6²ⁿ x 2ⁿ⁺³ ) : 13 =

= ( 2³ⁿ  x 2 x 3²ⁿ + 2³ⁿ x 3²ⁿ x 3 + 3²ⁿ x 2²ⁿ x 2ⁿ x 2³) : 13

= 2³ⁿ x 3²ⁿ x ( 2 + 3 + 8 ) : 13 =

= 2ⁿ x ( 2 x 3 ) ²ⁿ x 13 : 13 =

= 2ⁿ x 6²ⁿ=

= ( 2  x 6² )ⁿ =

= 72ⁿ