en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3i)^2

Solution

simplify

(- 3 i)^{2}

Solution

- 9

Solution steps

(- 3 i)^{2}

Apply exponent rule:

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

if

n

is even

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

= (3 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 i)^{2} = 3^{2} i^{2}

= 3^{2} i^{2}

3^{2} = 9

= 9 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 9 (- 1)

Multiply the numbers:

9 (- 1) = - 9

= - 9

Popular Examples

simplify 1/3+4/3 simplify

\frac{1}{3} + \frac{4}{3}

6 + 4 x + 3 = 6 x - 21

simplify (120/169)/(119/169)simplify

\frac{\frac{120}{169}}{\frac{119}{169}}

simplify (-9)/(-6)simplify

\frac{- 9}{- 6}

factor 24x^2+14x-5 factor

24 x^{2} + 14 x - 5

Frequently Asked Questions (FAQ)

What is (-3i)^2 ?
The solution to (-3i)^2 is -9