Understanding Exponents with Ones and Zeroes

The video tutorial explores the concept of exponents, focusing on the behavior of numbers raised to various powers, including zero and negative numbers. It explains that any number to the power of zero is one, and demonstrates how negative numbers behave differently when raised to odd or even powers. The tutorial uses examples to illustrate these concepts, highlighting patterns that emerge with negative exponents.

What is the result of raising the number 1 to any positive integer power?

• 1

• 0

• The power itself

• Infinity

What is the value of any non-zero number raised to the power of 0?

• Undefined

• 1

• The number itself

• 0

What is the result of negative 1 raised to the power of 0?

• -1

• Undefined

• 1

• 0

What is the result of negative 1 raised to the first power?

• 0

• -1

• 1

• 2

What is the result of negative 1 raised to the second power?

• 0

• 1

• -1

• 2

What pattern emerges when negative 1 is raised to odd powers?

• The result alternates between 1 and -1

• The result is always 1

• The result is always 0

• The result is always -1

What pattern emerges when negative 1 is raised to even powers?

• The result is always -1

• The result is always 0

• The result alternates between 1 and -1

• The result is always 1

What is the result of negative 1 raised to the 1 millionth power?

• 0

• 1

• Undefined

• -1

What is the result of negative 1 raised to the 999,999th power?

• Undefined

• -1

• 0

• 1

If negative 1 is raised to a large even power, what will the result be?

• -1

• 1

• 0

• Undefined