Tutorial - Simplifying an imaginary number to a higher power ex 4, i^26

The video tutorial explains how to simplify complex numbers raised to higher powers, specifically focusing on the powers of the imaginary unit 'i'. It covers the properties of 'i', such as i^1 = i, i^2 = -1, i^3 = -i, and i^4 = 1, and demonstrates how to use these properties to simplify i raised to the 26th power. The process involves dividing the exponent by 4, using the remainder to determine the final simplified form, and understanding the multiplication of exponents.

What is the value of i raised to the fourth power?

• i

• -1

• 1

• 0

When multiplying exponents, what operation do you perform on the powers?

• Subtract the powers

• Multiply the powers

• Divide the powers

• Add the powers

How many times does 4 go into 26 when simplifying i to the 26th power?

• 8 times

• 7 times

• 6 times

• 5 times

What is the remainder when 26 is divided by 4 in the context of simplifying i to the 26th power?

• 1

• 0

• 2

• 3

What is the equivalent value of i squared?

• 1

• -1

• i

• 0