en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-i/2)^2

Solution

simplify

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

Solution

- \frac{1}{4}

+1

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

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

Apply exponent rule:

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

= \frac{i ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{i ^{2}}{4}

Apply imaginary number rule:

i^{2} = - 1

= \frac{- 1}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{4}

Popular Examples

factor 49k^4-9 factor

49 k^{4} - 9

simplify (15xy^2)(1/3 x^2z^3)(y^3z^4)simplify

(15 x y^{2}) (\frac{1}{3} x^{2} z^{3}) (y^{3} z^{4})

(x - 4)^{2} - 31 = 30

3 (2 v + 8) = 60

simplify ((-2m^4)^2)/(8m^2)simplify

\frac{( - 2 m ^{4} ) ^{2}}{8 m ^{2}}

Frequently Asked Questions (FAQ)

What is (-i/2)^2 ?
The solution to (-i/2)^2 is -1/4