Enter imaginary number expression

Evaluate 4i-32

where i = √-1

Evaluate exponent of -32

Since the power you entered of -32 is > 4
See how many i4 factors we have

i-32 = (i4)-8

First calculate i4:

i4 = i * i * i * i

i4 = √-1 * √-1 * √-1 * √-1

i4 = (√-1)2 * (√-1)2

i4 = -1 * -1

i4 = 1

Substitute i4 = 1 in the equation:

i -32 = (1)-8 <--- i4 = 1

i -32 = 1/(18) <--- Convert negative power by taking 1 over the term

i -32 = 1/1

i -32 = 1

Multiply by our coefficient of 4

4(1) = 4

Final Answer

4


You have 2 free calculationss remaining



What is the Answer?
4
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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