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Popular >

simplify (-sqrt(3)i)^2

Solution

simplify

(- 3 i)^{2}

Solution

- 3

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} = 3

= 3 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 3 (- 1)

Multiply the numbers:

3 (- 1) = - 3

= - 3

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Frequently Asked Questions (FAQ)

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