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 | Hey, John. I need help with solving for each of the imaginary numbers. Mind helping me with that? | |
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| Sure thing, Robert. It's simple. The four main imaginary numbers you will need to remember are: i^1 = √-1, i^2 = -1, i^3 = -√-1, and i^4 = 1. | |
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| But what if the exponent on the imaginary number is greater than 4? | |
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| That's easy. Divide the exponent by 4 and look at the decimal following the number. Following this advice, you should recognize that .25 = i^1, .5 = i^2, .75 = i^3, and a whole number is equal to i^4. | |
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| Also, and lastly, what should I do if the exponent happens to be negative? | |
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| If the exponent is negative, then don't worry about if the exponent is even. If it is odd, however, then you need to multiply the imaginary number by -1. So, i^-1 = -√-1 and i^-3 = √-1. This is all you need to know about imaginary numbers within mathematics. You can thank me later! | |
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