化简-(75(-1)^{1/4}(74+69i))/(7754-5497i)

解答

化简

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

求解步骤

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

乘以共轭根式

\frac{7754 + 5497 i}{7754 + 5497 i}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )}

化简

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )} : - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

e x p an d 20 i + 15 (cos (60 i) + sin (60 j))

e x p an d (2 + x) 9 - x^{2}

e x p an d (1 - cos (x))^{8}

e x p an d 4 x - (2 x + 3) (4 - 5 x) l e f t (11 x + 10 x^{2})

e x p an d \frac{1}{sin ( x ) ( 1 - cos ( x ) )}