What is Zero Rule?
The zero exponent rule can be understood through division with exponents. According to the quotient rule of exponents, dividing powers with the same base means subtracting the exponents.
a^m/a^m=a^m−m=a^0
Since a^m/a^m=1 for any non-zero a, it follows that a^0=1
For example:
6^0=1
Because any bases raised to a 0 exponent is equal to 1.
Examples:
(3a^2b^4c)^0=3^0*(a^2*0)*(b^4*0)*(c^1*0)=1
Here, the entire expression is raised to the power of zero, so the result is 1
Reflection
The fact that any non-zero number raised to the zero power equals one may initially seem in conflict. This rule supports the idea that anything raised to zero leaves us with a single unit and offers a powerful simplifying tool.