Exploring Zero and Negative Exponents

This video tutorial covers zero and negative exponents, explaining their properties and how to simplify expressions involving them. It includes examples, practice problems, and the use of calculators to demonstrate exponentiation. The tutorial also discusses the hidden factors in exponent notation and provides rules for handling zero and negative exponents.

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

• 0

• 1

• The number itself

• Undefined

If you have 3 to the power of 4, what is the expanded form?

• 3 + 3 + 3 + 3

• 3 * 3 * 3 * 3

• 3^4

• 4^3

What is the result of (-4)^3?

• -12

• 64

• 16

• -64

How do you write two-thirds raised to the power of 2 in exponential notation?

• (2/3)^2

• 2/3 * 2/3

• (2/3) * 2

• 2/3^2

What is the value of 2 to the power of zero?

• 0

• 1

• 2

• Undefined

What is the hidden factor in any number raised to the power of zero?

• 0

• Undefined

• 1

• The number itself

What does a negative exponent indicate?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of 5 to the power of -2?

• -25

• 25

• 1/5

• 1/25

What is the simplified form of 4^-3?

• 1/3^4

• -4^3

• 4^3

• 1/4^3

What is the value of 10 to the power of -3?

• 1/1000

• -1000

• 1/10

• 1000