Power of a power property:

Power of a quotient property examples. Rewrite powers of products and quotients. Quotient property of logarithms examples. Pay attention to the last example where we demonstrate the difference between subtracting.

This is similar to the power of a product property. For example, (3⁵⋅x³)² can be written as 3¹⁰⋅x⁶. In order to use this formula, the bases must be the same.

Rewrite powers of products and quotients. In the second instance, in order. Let’s first define some terms as they relate to exponents.

Notice the bases are the same, so we can simplify. For example, (3⁵⋅x³)² can be written as 3¹⁰⋅x⁶. The quotient of powers rule assists with simplifying exponents.

For example, 3 + 4 = 7 (whole number ). Learn how to use this property with the help of some examples. Power of a quotient property.

Watch the following video for more examples of how to simplify quotients that contain exponents. Remember parentheses come before exponents. Log a mn log a m log a n.