Решение заданий:

1. x³ * x⁸ = x^(3+8) = x¹¹
2. x³ * (x²)⁴ = x³ * x^(2*4) = x³ * x⁸ = x^(3+8) = x¹¹
3. 3⁴ * 3 * 3⁸ = 3⁴ * 3¹ * 3⁸ = 3^(4+1+8) = 3¹³
4. (2d)⁴ = 2⁴ * d⁴ = 16 * d⁴ = 16d⁴
5. (x³)² = x^(3*2) = x⁶
6. (3c/b²)³ = (3c)³ / (b²)³ = 3³ * c³ / b^(2*3) = 27c³ / b⁶ = 27c³/b⁶
7. (d² * c)⁵ = (d²)⁵ * c⁵ = d^(2*5) * c⁵ = d¹⁰c⁵