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Popular >

simplify (-8i)^2

Solution

simplify

(- 8 i)^{2}

Solution

- 64

Solution steps

(- 8 i)^{2}

Apply exponent rule:

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

if

n

is even

(- 8 i)^{2} = (8 i)^{2}

= (8 i)^{2}

Apply exponent rule:

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

(8 i)^{2} = 8^{2} i^{2}

= 8^{2} i^{2}

8^{2} = 64

= 64 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 64 (- 1)

Multiply the numbers:

64 (- 1) = - 64

= - 64

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Frequently Asked Questions (FAQ)

What is (-8i)^2 ?
The solution to (-8i)^2 is -64