4i^-32

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

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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
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