en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-1+sqrt(3)i)/2)^3

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

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

2^{3} = 8

= \frac{( - 1 + 3 i ) ^{3}}{8}

Expand

(- 1 + 3 i)^{3} : 8

= \frac{8}{8}

Apply the fraction rule:

\frac{a}{a} = 1

= 1

Popular Examples

7 = \frac{1}{3} (8 x + 3)

simplify (-1)^{1/2}simplify

(- 1)^{\frac{1}{2}}

simplify 9/4-1/2 simplify

\frac{9}{4} - \frac{1}{2}

9 x^{2} > 25

factor \sqrt[3]{2+2i}factor

Frequently Asked Questions (FAQ)

What is ((-1+sqrt(3)i)/2)^3 ?
The solution to ((-1+sqrt(3)i)/2)^3 is 1