Question

一个复变函数问题

计算3^(3-i)

Answer 1

3^(3-i)=3^3*3^(-i)
=27*e^[ln(3)*(-i)]
=27*e^{i*[-ln(3)]}
=27* {cos[-ln(3)]+i*sin[-ln(3)]}
=27* {cos[ln(3)]-i*sin[ln(3)]}