Zero (0) Exponent Rule — Definition & Examples

Below is a bunch of numbers added up, we do not yet know what $x$ is. $$1+2^x+3^x+4^x+\cdot\cdot\cdot+n^x$$

Here, $n$ is some natural number. Basically, this is the sum of the first $n$ natural numbers, each to the power of $x$ (except $1$, which is not raised to a power).

To help you figure out what $x$ is, here is a bit more information. The sum of all those numbers is equal to $n$. $$1+2^x+3^x+4^x+\cdot\cdot\cdot+n^x=n$$

Here is an example where $n=3.$ You might want to use it to figure out what $x$ is! $$1+2^x+3^x=3$$