Precalculus (6th Edition)

Published by Pearson

Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises: 29

Answer

The product of the reciprocals of two numbers is equal to the reciprocal of the product of the two numbers.

Work Step by Step

$\dfrac{1}{x}$ 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.

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