10.1.4 Zero as a Power
Activity: Zero as a Power
Work out the “long way” and using the rules that we have just learned about.
The powers rule gives . So it follows that . But what does mean? “10 multiplied by itself zero times” does not make sense, so is defined as having the value 1. You can use a similar argument to show that any number to the power zero has a value of 1. For example, , , and .
Now let’s take a look at negative exponents or powers.