Zero Power Rule using division of like bases:
The zero power rule states that any non-zero number raised to the power of zero is equal to 1.
Using the division of like bases property, we can apply the zero power rule as follows:
Let's say we have a non-zero number a. According to the zero power rule, we have:
a^0 = 1
Now, let's consider the division of two like bases, a and a. According to the division of like bases property, we have:
a/a = a^(1-1) = a^0
Since a^0 = 1 from the zero power rule, we can rewrite the division of like bases as:
a/a = 1
Therefore, the zero power rule can be applied using the division of like bases.