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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.