Question

(1-i)^4=_____________​

Answer 1

$(1 - i) {}^{4}$

$\implies \: {1}^{4} - 4 {( 1) }^{3} i + 6 {(1)}^{2} {i}^{2} - 4(1) {i}^{3} + {i}^{4}$

$\implies \: 1 - 4i + 6( - 1) + 4i+ 1$

$\implies \: 1 - 6 + 1$

$\implies \: 2 - 6$

$\implies - 4$

Formula used:-

(a - b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴