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 is the result of simplifying x to the power of 3 divided by x to the power of 3?

• 1

• x to the power of 0

• x to the power of 6

• x to the power of 3

According to the quotient of powers property, how do you simplify x to the power of 3 over x to the power of 3?

• x to the power of 9

• x to the power of 6

• x to the power of 1

• x to the power of 0

What does the expression x to the power of 0 equal?

• 0

• x

• x to the power of 1

• 1

If a is a nonzero real number, what is a to the power of 0?

• a to the power of 1

• a

• 0

• 1

Why does anything raised to the power of 0 equal 1?

• Because it is undefined

• Because it simplifies to 0

• Because it simplifies to 1

• Because it is a mathematical rule