Zero Exponents

The video tutorial explains why any nonzero base raised to the power of 0 equals 1, using a pattern-based proof. It demonstrates this with examples, showing how reducing exponents leads to division by the base, ultimately resulting in 1. The video also clarifies why 0 to the power of 0 is undefined, as division by zero is not possible. The lesson concludes with practice problems to reinforce the concept.

What is the result of any nonzero number raised to the power of zero?

• Undefined

• Zero

• One

• The number itself

Which of the following statements is true about the pattern used to prove that any number to the power of zero is one?

• The pattern involves adding exponents.

• The pattern involves subtracting the base.

• The pattern involves multiplying by zero.

• The pattern involves dividing by the base as the exponent decreases.

What is the result of 3 raised to the power of zero?

• Undefined

• One

• Three

• Zero

Why is zero to the power of zero considered undefined?

• Because zero raised to any power is always zero.

• Because dividing by zero is undefined.

• Because zero raised to any power is always one.

• Because zero cannot be used as a base.

What happens when zero is raised to any positive exponent?

• It remains zero.

• It equals the exponent.

• It becomes undefined.

• It becomes one.