Simplify the imaginary number product
3i*7i
Group coefficients and add powers of i
(3 * 7)i(1 + 1) = 21i2
Evaluate 21i2
where i = √-1
Evaluate exponent of 2
i2 = √-1 * √-1
i2 = (√-1)2
i2 = -1
Multiply by our coefficient of 21
21(-1) = -21
Final Answer
-21
Test Your Knowledge?
- What does i represent?
- What is i2 equal to?
Common Core State Standards In This Lesson
HSN.CN.A.1
What is the Answer?
-21
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
