вычислите: 2^2k+5 * (1/3)^-3-k / 12^k+2

Question

вычислите: 2^2k+5 * (1/3)^-3-k / 12^k+2

---

Answer 1

2^2k+5 * 3^3+k / 2^k+2 * 3^k+2 * 2^k+2 = 2^2k+5-k-2 * 3^3+k-k-2 / 2k+2 = 2^k+3 * 3^1 / 2^k+2 = 2^k+3-k-2 * 3^1 = 2^1 * 3^1 = 6