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Popular >

factor i^{74}

Solution

factor

i^{74}

Solution

- 1

Solution steps

i^{74}

Apply exponent rule:

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

i^{74} = (i^{2})^{37}

= (i^{2})^{37}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{37}

Apply exponent rule:

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

if

n

is odd

(- 1)^{37} = - 1^{37}

= - 1^{37}

1^{37} = 1

= - 1

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Frequently Asked Questions (FAQ)

What is factor i^{74} ?
The solution to factor i^{74} is -1