en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-10i)^2

Solution

simplify

(- 10 i)^{2}

Solution

- 100

Solution steps

(- 10 i)^{2}

Apply exponent rule:

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

if

n

is even

(- 10 i)^{2} = (10 i)^{2}

= (10 i)^{2}

Apply exponent rule:

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

(10 i)^{2} = 1 0^{2} i^{2}

= 1 0^{2} i^{2}

1 0^{2} = 100

= 100 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 100 (- 1)

Multiply the numbers:

100 (- 1) = - 100

= - 100

Popular Examples

simplify-3*(-5)simplify

- 3 \cdot (- 5)

simplify 3/5 \times 1/2 simplify

\frac{3}{5} \times \frac{1}{2}

simplify (2x^2-3x-2)/(x-2)simplify

\frac{2 x ^{2} - 3 x - 2}{x - 2}

simplify 1/(4+sqrt(3))simplify

\frac{1}{4 + 3}

simplify 7sqrt(72)simplify

772

Frequently Asked Questions (FAQ)

What is (-10i)^2 ?
The solution to (-10i)^2 is -100