Exponents and Their Properties

This tutorial covers the concept of zero exponents, explaining that any non-zero number raised to the power of zero equals one. It begins with an introduction to the zero exponent rule, followed by a detailed explanation of the law of exponents on multiplication. The video then provides a proof of the zero exponent rule and concludes with examples using different values to reinforce the concept.

What is the value of any non-zero number raised to the power of zero?

• Undefined

• 0

• 1

• x

Which of the following is the law of exponents for multiplication with the same base?

• x^m * x^n = x^(m*n)

• x^m * x^n = x^(m-n)

• x^m * x^n = x^(m+n)

• x^m * x^n = x^(m/n)

If x = 2, m = 2, and n = 3, what is the result of x^m * x^n?

• 2^5

• 2^6

• 2^7

• 2^8

What is the result of 2^2 * 2^3?

• 128

• 32

• 16

• 64

How do you express 2^5 using multiplication?

• 2 * 2 * 2

• 2 * 2 * 2 * 2

• 2 * 2

• 2 * 2 * 2 * 2 * 2

What is the value of 2^3?

• 10

• 8

• 6

• 4

What is the value of 2^2?

• 2

• 4

• 6

• 8

What is the result of 4 times 8?

• 40

• 16

• 32

• 24

What is the result of 2 times 2 times 2 times 2 times 2?

• 16

• 24

• 40

• 32

What is the value of x^0 when x is not zero?

• Undefined

• x

• 1

• 0