Question

daca 3 la puterea n=a,calculati in functie de a:3la puterea 3n ;3n+1;3 la puterea 2n+3;3 la puterea 3n+4.

Answer 1

3 la puterea n = a
3 la puterea 3n = (3 la puterea n) la puterea 3 = a³
3 la puterea 3n+1 = (3 la puterea 3n) · 3¹ = ((3 la puterea n) la puterea 3) · 3¹ = a³ · 3¹ = 3a³
3 la puterea 2n+3 = (3 la puterea 2n) · 3³ = ((3 la puterea n) la puterea 2) · 3³ = a² · 27 = 27a²
3 la puterea 3n+4 = (3 la puterea 3n) · 3⁴ = ((3 la puterea n) la puterea 3) · 3⁴ = a³ · 81 = 81a³