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
Test Your Knowledge?
- What does i represent?
- What is i2 equal to?
Common Core State Standards In This Lesson
HSN.CN.A.1
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.
This calculator has 1 input.
What 4 formulas are used for the Imaginary Numbers Calculator?
i = √-1
i2 = -1
i3 = -i
i4 = 1
i2 = -1
i3 = -i
i4 = 1
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
