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
Test Your Knowledge?
- What does i represent?
- What is i2 equal to?
Common Core State Standards In This Lesson
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
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