en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-1-3i)^4)/(16)

Solution

simplify

\frac{( - 1 - 3 i ) ^{4}}{16}

Solution

\frac{7}{4} - 6 i

Solution steps

\frac{( - 1 - 3 i ) ^{4}}{16}

Expand

(- 1 - 3 i)^{4} : - 96 i + 28

= \frac{- 96 i + 28}{16}

Factor

- 96 i + 28 : 4 (- 24 i + 7)

= \frac{4 ( - 24 i + 7 )}{16}

Factor the number:

16 = 4 \cdot 4

= \frac{4 ( - 24 i + 7 )}{4 \cdot 4}

Cancel the common factor:

4

= \frac{- 24 i + 7}{4}

Simplify

\frac{- 24 i + 7}{4} : \frac{7}{4} - 6 i

= \frac{7}{4} - 6 i

Popular Examples

simplify 8(2sqrt(5)-2)simplify

8 (25 - 2)

expand tsin(t)(cos(t)-tsin(t))expand

t sin (t) (cos (t) - t sin (t))

d/(dt)((s)(3t^2-sec(t)+3))

\frac{d}{d t} ((s) (3 t^{2} - sec (t) + 3))

simplify (75+c/2)(450-3c)-c(450-3c)simplify

(75 + \frac{c}{2}) (450 - 3 c) - c (450 - 3 c)

expand-7sqrt(11)(7+3sqrt(3))expand

- 711 (7 + 33)

Frequently Asked Questions (FAQ)

What is ((-1-3i)^4)/(16) ?
The solution to ((-1-3i)^4)/(16) is 7/4-6i