Zero power rule using division of like bases
The zero power rule states that any number (except for zero) raised to the power of zero is equal to one.
Using the division of like bases, we can show the zero power rule:
Let's consider a non-zero number a and we want to find a^0.
We can write a^0 as a divided by a:
a^0 = a/a.
Using the division of like bases, we subtract the exponents:
a^0 = a^1 / a^1 = a^(1-1) = a^0.
Since a^0 = a^0, we can conclude that a^0 equals 1 for any non-zero number a.