Imaginary Numbers Review

Front

What is the value of i^6?

Back

-1

Front

What is the value of i^23?

Back

-i

Front

Simplify (2i)^4.

Back

16

Front

What is the product of (8 - 4i) and (10 + 2i)?

Back

88 - 24i

Front

What is the sum of (5 + 7i) and (10 - 15i)?

Back

15 - 8i

Front

Define imaginary numbers.

Back

Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit i, where i is defined as the square root of -1.

Front

What is the imaginary unit i?

Back

The imaginary unit i is defined as i = √(-1).

Front

What is the pattern for powers of i?

Back

The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Front

How do you multiply two complex numbers?

Back

To multiply two complex numbers, use the distributive property (FOIL) and combine like terms.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.