Equality of Monomials of Polynomial Ring in One Variable

Theorem
Let $R$ be a commutative ring with unity.

Let $R[X]$ be a polynomial ring in one variable $X$ over $R$.

Let $k,l\in\N$ be distinct natural numbers.

Then the monomials $X^k$ and $X^l$ are distinct, where $X^k$ denotes the $k$th power of $X$.

Also see

 * Equality of Monomials of Polynomial Ring