en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((1+i)/(1-i))^5

Solution

simplify

(\frac{1 + i}{1 - i})^{5}

Solution

i

Solution steps

(\frac{1 + i}{1 - i})^{5}

Simplify

\frac{1 + i}{1 - i} : i

= i^{5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{5} = i^{4} i

= i^{4} i

Simplify

i^{4} : (- 1)^{2}

= (- 1)^{2} i

Simplify

(- 1)^{2} i : i

= i

Popular Examples

simplify (4x-1)+(2x+3)simplify

(4 x - 1) + (2 x + 3)

expand (4+x)^6 expand

(4 + x)^{6}

simplify 3/5+4/15 simplify

\frac{3}{5} + \frac{4}{15}

simplify (x^4)/(x^{-3)}simplify

\frac{x ^{4}}{x ^{- 3}}

simplify \sqrt[3]{16a^4b^6}simplify

Frequently Asked Questions (FAQ)

What is ((1+i)/(1-i))^5 ?
The solution to ((1+i)/(1-i))^5 is i