# Zero Exponents

Example 1: 3° = 1

Example 2: 12° = 1

Example 3: 101° = 1

Example 4: 31,456,236,719 ° = 1

Example 5: (-5)° = 1

Example 6: 0° =

*undefined*??? This is similar to dividing by zero. It is undefined.

Hmmm...Do you see an emerging pattern? We can write the rule as a° =1. You can remember it as any number (except zero) to the zero power is 1.

The most common mistake is to assume that the answer is zero. If you hesitate use your calculator to verify.

How does this apply when you are simplifying variable expressions that have an exponent of 0?

Example 7:

Rewrite

Subtract Exponents when you divide 4 •x

^{3-3}y

^{5-2}

Simplify 4 •x° • y

^{3}

Zero exponent rule 4 • 1 • y

^{3}

Final result 4y

^{3}therefore the x

^{3}canceled out

Let's think through this logically. We know that any number divided by itself is equal to one.

So it makes sense that any number to the zero power is one when we look at:

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