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i25 · Step 1. 25÷ 4 has a remainder of 1 · Step 2. i25 = i1=i Rule : i4 is equal to 1 apply the following formula to reduce i to any power just divide the given power by 4 and then whatever you get as the remainder just put it as the power of i in your answer ik = ir Where r = the remainder of k÷4 And then solve it like i1 would be i or i2 would be -1 or i3 would be -i and so on. Other Example: i9 § Step 1. 9 ÷ 4 has a remainder of 1 § Step 2. i9 = i1 i103 § Step 1. 103 ÷ 4 has a remainder of 3 § Step 2. i103 = i3 = -i
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What are the roots of complex numbers in mathematics?
See the answer to the related question: 'How do you solve the power of an imaginary number?' (Link below)
Can a no real number be a pure imaginary number?
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
How do you simplify the imaginary number -125?
-125 is NOT an imaginary number.
Whats an imaginary number?
An imaginary number is a number that has the square root of -1 as one of its factors.
What are the roots of complex numbers in mathematics?
See the answer to the related question: 'How do you solve the power of an imaginary number?' (Link below)
Can a number be imaginary but not pure imaginary?
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
Can a no real number be a pure imaginary number?
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
Solve xx plus 1 equals 0?
x = the square root of -1, an imaginary number written as a lower case italic i.
How to solve imaginary complex numbers?
That depends a lot on what you want to solve. In general, you can do quite a lot by simply considering the complex number like any polynomial, and remembering that i2 = -1. For example, to add two complex numbers, you simply add the real and the imaginary part of both numbers.
How do you simplify the imaginary number -125?
-125 is NOT an imaginary number.
Is Colorado Springs surface flat?
Relatively, east of I25. West of I25, you start getting into the foothills and actually up into the Rocky Mountains.
What does 7 divided by imaginary number equal?
That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.
Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?
It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).
Is -23 an imaginary number?
No, but √-23 is. An imaginary number is the square root of a negative number.
Why is the square root of a negative number imaginary?
Any real number, when squared will give a positive real number. This is true weather you have a negative real number and square it, or positive. The concept of imaginary numbers was invented to handle equations which needed to use the square root of a negative number, in order to solve them.At first, they were not considered useful beyond this, so they were named imaginary numbers. Through the work of Euler and others, it became evident that imaginary and complex numbers could be useful, especially when analyzing waves, such as electrical waveforms.
