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Popular >

simplify 5i^{22}

Solution

simplify

5 i^{22}

Solution

- 5

Solution steps

5 i^{22}

Apply exponent rule:

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

i^{22} = (i^{2})^{11}

= 5 (i^{2})^{11}

Apply imaginary number rule:

i^{2} = - 1

= 5 (- 1)^{11}

(- 1)^{11} = - 1

= 5 (- 1)

Multiply the numbers:

5 (- 1) = - 5

= - 5

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Frequently Asked Questions (FAQ)

What is 5i^{22} ?
The solution to 5i^{22} is -5