## Precalculus (6th Edition)

$\dfrac{1}{x}$ and $\dfrac{1}{y}$ can be described as reciprocals of two numbers. $\dfrac{1}{xy}$ is the reciprocal; of $xy$, which can be described as the reciprocal of the product of two numbers Thus, the given identity can be written as: The product of the reciprocals of two numbers is equal to the reciprocal of the product of the two numbers.