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Popular >

expand i^8

Solution

expand

i^{8}

Solution

1

Solution steps

i^{8}

Apply exponent rule:

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

i^{8} = (i^{2})^{4}

= (i^{2})^{4}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{4}

Apply exponent rule:

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

if

n

is even

(- 1)^{4} = 1^{4}

= 1^{4}

1^{4} = 1

= 1

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Frequently Asked Questions (FAQ)

What is expand i^8 ?
The solution to expand i^8 is 1