Evaluate:i, to the power 90i 90
Question
Evaluate:i, to the power 90i 90
Solution
The question seems to be asking for the value of i raised to the power of 90. In mathematics, "i" is the imaginary unit, which is defined as the square root of -1.
Here are the steps to solve this:
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We know that i to the power of 1 is i, i to the power of 2 is -1, i to the power of 3 is -i, and i to the power of 4 is 1. This pattern repeats every 4 powers.
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To find i to the power of 90, we need to find the remainder when 90 is divided by 4, because the powers of i repeat every 4.
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The remainder when 90 is divided by 4 is 2.
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Therefore, i to the power of 90 is the same as i to the power of 2, which is -1.
So, i to the power of 90 equals -1.
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