The Laws of Exponents

OverviewThis set of tutorials provides 24 examples of the laws of exponents. They fall into four categories: 1.Simplifying exponential expressions of the form (Examples 1-4).

2.Simplifying exponential expressions of the form (Examples 5-12).

3.Simplifying exponential expressions of the form (Examples 13-16).

4.Simplifying exponential expressions of the form (Examples 17-24).

Example 1: Simplifying exponential expressions of the form

, where a > 0, b > 0.

Example 2: Simplifying exponential expressions of the form

, where a < 0, b > 0.

Example 3: Simplifying exponential expressions of the form

, where a > 0, b < 0.

Example 4: Simplifying exponential expressions of the form

, where a < 0, b < 0.

Example 5: Simplifying exponential expressions of the form

, where a > 0, b > 0, c > 0.

Example 6: Simplifying exponential expressions of the form

, where a < 0, b > 0, c > 0.

Example 7: Simplifying exponential expressions of the form

, where a > 0, b < 0, c > 0.

Example 8: Simplifying exponential expressions of the form

, where a > 0, b > 0, c < 0.

Example 9: Simplifying exponential expressions of the form

, where a < 0, b < 0, c > 0.

Example 10: Simplifying exponential expressions of the form

, where a > 0, b < 0, c < 0.

Example 11: Simplifying exponential expressions of the form

, where a < 0, b > 0, c < 0.

Example 12: Simplifying exponential expressions of the form

, where a < 0, b < 0, c < 0.

Example 13: Simplifying exponential expressions of the form

, where a > 0, b > 0.

Example 14: Simplifying exponential expressions of the form

, where a < 0, b > 0.

Example 15: Simplifying exponential expressions of the form

, where a > 0, b < 0.

Example 16: Simplifying exponential expressions of the form

where a < 0, b < 0.

Example 17: Simplifying exponential expressions of the form

, where a > 0, b > 0, c > 0.

Example 18: Simplifying exponential expressions of the form

, where a < 0, b > 0, c > 0.

Example 19: Simplifying exponential expressions of the form

, where a > 0, b < 0, c > 0.

Example 20: Simplifying exponential expressions of the form

, where a > 0, b > 0, c < 0.

Example 21: Simplifying exponential expressions of the form

, where a < 0, b < 0, c > 0.

Example 22: Simplifying exponential expressions of the form

, where a > 0, b < 0, c < 0.

Example 23: Simplifying exponential expressions of the form

, where a < 0, b > 0, c < 0.

Example 24: Simplifying exponential expressions of the form

, where a < 0, b < 0, c < 0.