Zero Power Rule using division of like bases:

Answer 1

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.