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Popular >

factor i^{73}

Solution

factor

i^{73}

Solution

i

Solution steps

i^{73}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

i^{73} = i^{72} i

= i^{72} i

Apply exponent rule:

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

i^{72} = (i^{2})^{36}

= i (i^{2})^{36}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{36} i

Apply exponent rule:

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

if

n

is even

(- 1)^{36} = 1^{36}

= 1^{36} i

1^{36} = 1

= 1 i

Multiply:

1 i = i

= i

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Frequently Asked Questions (FAQ)

What is factor i^{73} ?
The solution to factor i^{73} is i