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受欢迎的代数 >

化简 (i/(1-i))^3

解答

化简

(\frac{i}{1 - i})^{3}

解答

- \frac{i ( - 1 + i )}{4}

求解步骤

(\frac{i}{1 - i})^{3}

化简

\frac{i}{1 - i} : \frac{i ( 1 + i )}{2}

= (\frac{i ( 1 + i )}{2})^{3}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( i ( 1 + i ) ) ^{3}}{2 ^{3}}

化简

(i (1 + i))^{3} : - i (2 i - 2)

= \frac{- i ( 2 i - 2 )}{2 ^{3}}

2^{3} = 8

= \frac{- i ( 2 i - 2 )}{8}

化简

\frac{- i ( 2 i - 2 )}{8} : - \frac{i ( i - 1 )}{4}

= - \frac{i ( i - 1 )}{4}

Rewrite in standard complex form:

- \frac{i ( - 1 + i )}{4}

= - \frac{i ( - 1 + i )}{4}

流行的例子

t^2-4sqrt(3)t+8=0

t^{2} - 43 t + 8 = 0

4(a+5)(a-3)=(4a+20)(a-3)

4 (a + 5) (a - 3) = (4 a + 20) (a - 3)

\frac{2 x ^{\frac{3}{2}}}{3}

化简 (1/(3a^3))^{-4}

s im pl i f y (\frac{1}{3 a ^{3}})^{- 4}

- 6 a > 66