Enter imaginary number expression

Evaluate i50

where i = √-1

Evaluate exponent of 50

Since 50 > 4
find how many i4 factors we have

i50 = (i48)(i2)

i50 = ((i4)12)(i2)

First calculate i4:

i4 = √-1 * √-1 * √-1 * √-1

i4 = (√-1)2 * (√-1)2

i4 = -1 * -1

i4 = 1

Substitute i4 = 1 in the equation:

i 50 = (112)(i2) <--- i4 = 1

i 50 = 1(i2)

Now calculate i2:

i2 = √-1 * √-1

i2 = √-12

i2 = -1

Evaluate

i50 = 1 * -1 <--- i2 = -1

i50 = -1

Evaluate

i50 = -1

Final Answer


How does the Imaginary Numbers Calculator work?
Free Imaginary Numbers Calculator - Calculates the imaginary number i where i = √-1 raised to any integer power as well as the product of imaginary numbers of quotient of imaginary numbers
This calculator has 1 input.

What 4 formulas are used for the Imaginary Numbers Calculator?

i = √-1
i2 = -1
i3 = -i
i4 = 1

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Imaginary Numbers Calculator?

imaginary
imaginary numbers
square root
a factor of a number that, when multiplied by itself, gives the original number
√x
Example calculations for the Imaginary Numbers Calculator
  1. i^50
  2. 4i^-32
  3. 3i*7i
  4. 4i^2*8i^3*7i^5
  5. 9i^4*3i^5/6i^2*8i^9

Imaginary Numbers Calculator Video


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