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Popular >

simplify i^{1800}

Solution

simplify

i^{1800}

Solution

1

Solution steps

i^{1800}

Apply exponent rule:

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

i^{1800} = (i^{2})^{900}

= (i^{2})^{900}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{900}

(- 1)^{900} = 1

= 1

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Frequently Asked Questions (FAQ)

What is i^{1800} ?
The solution to i^{1800} is 1