Power of a Quotient

When the elements of a quotient have exponents and the quotient is raised to a power, then the power multiplies the exponent of each element in the quotient.

Power of a Quotient Rule : P_Q1 .

Example 1

Simplify the expression: power_Q_ex1 .

Step 1. Use the Power of a Quotient Rule.

power_Q_ex1-2

Step 2. Use the Power of a Power Rule to simplify the resulting expression.

power_Q_ex1-3

Step 3. If the bases are the same, use the Quotient of a Power Rule for Exponents to simplify the resulting expression.

power_Q_ex1-4

Listen


Skip Table of contentsSkip NavigationSkip Settings

Settings