Year 8 Interactive Maths - Second Edition

Index Law for Powers of Quotients

We know that:

In general:

This formula tells us that when a quotient is raised to a power, both the numerator and denominator are raised to the power.

This is the sixth index law and is known as the Index Law for Powers of Quotients.

Example 14

Simplify each of the following:

Solution:

Example 15

Solution:

Key Terms

index law for powers of quotients

Study Another Topic in Chapter 7: Indices

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