3i*7i

July 2024 · 1 minute read
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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

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What is the Answer?

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?

imaginaryimaginary numberssquare roota factor of a number that, when multiplied by itself, gives the original number
√x

Example calculations for the Imaginary Numbers Calculator

Imaginary Numbers Calculator Video


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