The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. In algebraic expressions, this property allows us to rearrange the terms.
For the expression \( p^{22} \cdot p^{14} \), we can rewrite it by switching the order of multiplication. However, since both factors are powers of \( p \), you can also combine them directly using the properties of exponents.
Using the properties of exponents, specifically \( a^m \cdot a^n = a^{m+n} \), we can simplify:
\[ p^{22} \cdot p^{14} = p^{22 + 14} = p^{36} \]
So the rewritten expression, while applying the Commutative Property conceptually, can ultimately be simplified to \( p^{36} \).
In its rearranged form, if you prefer to just switch the order without simplifying:
\[ p^{14} \cdot p^{22} \]
Both representations (either \( p^{22} \cdot p^{14} \) or \( p^{14} \cdot p^{22} \)) are valid.