Zero Exponents

This lesson explains how to evaluate expressions raised to the power of 0. It begins with an example of simplifying x^3 divided by x^3 using basic arithmetic, showing that the result is 1. The lesson then introduces the quotient of powers property, which simplifies the expression to x^0. It explains that x^0 equals 1, and this principle applies to any nonzero real number. The lesson concludes with examples demonstrating that expressions raised to the power of 0 equal 1.

What happens when you divide an expression by itself?

Explain the quotient of powers property.

Why do we get different answers when simplifying x to the power of 3 over x to the power of 3 in two different ways?

What does it mean when we say x to the power of 0 equals 1?

Provide a formal statement regarding any nonzero real number raised to the power of 0.