Exploring Positive and Negative Exponents

The video tutorial explains the concepts of exponential, expanded, and standard forms of exponents. It provides examples to illustrate these forms, including handling negative exponents and complex calculations. The tutorial also includes a section on solving quiz problems and concludes with instructions for retaking the quiz.

What is the expanded form of 2 to the 5th power?

• 5^2

• 2^5

• 2 * 2 * 2 * 2 * 2

• 2 + 2 + 2 + 2 + 2

What is the standard form of 3 to the 2nd power?

• 3

• 6

• 9

• 12

How do you express 3 to the negative 3rd power in positive exponent form?

• 1/3^-3

• 3^-3

• 1/3^3

• 3^3

What is the standard form of 1 over 4 to the 3rd power?

• 1/12

• 1/16

• 1/64

• 1/32

What is the expanded form of -5 to the negative 3rd power?

• 1/(-5 * -5)

• 1/(-5 * 5 * 5)

• 1/(-5 * -5 * -5)

• 1/(-5 * -5 * 5)

What is the standard form of -5 to the negative 3rd power?

• -125

• 125

• 1/125

• -1/125

What is the standard form of 2 to the 0 power?

• 0

• 1

• 2

• Undefined

What is the expanded form of 3 to the 7th power?

• 7^3

• 3 * 3 * 3 * 3 * 3 * 3 * 3

• 3^7

• 3 + 3 + 3 + 3 + 3 + 3 + 3

What is the standard form of 5 to the negative 2nd power?

• 1/25

• -25

• 25

• 1/5

What is the standard form of 2 to the negative 4th power?

• 1/64

• 1/8

• 1/32

• 1/16