Simplify $i^{18} - {3.1}^{7} + i^{2} (1 + i^{4}) (- i)^{26}$ .

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Solution

Given,
$i^{18} - {3.1}^{7} + i^{2} (1 + i^{4}) {(- i)}^{26}$
$= i^{18} - {3.1}^{7} + 2 i^{28}$
$= - 1 - {3.1}^{7} + 2 i^{28}$
$= - 1 - 3 + 2 i^{28}$
$= - 1 - 3 + 2$
$= - 4 + 2$
$= - 2$

Hence, this is the answer.

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