 ## CCSS.MATH.CONTENT.8.EE.A.1

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## Definition--Laws of Exponents

### The definition of the term "Laws of Exponents." ## Definition--Laws of Exponents

### The definition of the term "Laws of Exponents." ## MATH EXAMPLE: Laws of Exponents: Example 01

### Example 1: Simplifying an exponential expression of the form x^a * x^b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Laws of Exponents: Example 02

### Example 2: Simplifying an exponential expression of the form x^a * x^b, under the following conditions: a < 0, b > 0. ## MATH EXAMPLE: Laws of Exponents: Example 03

### Example 3: Simplifying an exponential expression of the form x^a * x^b, under the following conditions: a > 0, b < 0. ## MATH EXAMPLE: Laws of Exponents: Example 04

### Example 4: Simplifying an exponential expression of the form x^a * x^b, under the following conditions: a < 0, b < 0. ## MATH EXAMPLE: Laws of Exponents: Example 05

### Example 5: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a > 0, b > 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 06

### Example 6: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a < 0, b > 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 07

### Example 7: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a > 0, b < 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 08

### Example 8: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a > 0, b > 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 09

### Example 9: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a < 0, b < 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 10

### Example 10: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a > 0, b < 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 11

### Example 11: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a < 0, b > 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 12

### Example 12: Simplifying an exponential expression of the form x^a * x^b * x^c, under the following conditions: a < 0, b < 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 13

### Example 13: Simplifying an exponential expression of the form x^a / x^b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Laws of Exponents: Example 14

### Example 14: Simplifying an exponential expression of the form x^a / x^b, under the following conditions: a < 0, b > 0. ## MATH EXAMPLE: Laws of Exponents: Example 15

### Example 15: Simplifying an exponential expression of the form x^a / x^b, under the following conditions: a > 0, b < 0. ## MATH EXAMPLE: Laws of Exponents: Example 16

### Example 16: Simplifying an exponential expression of the form x^a / x^b, under the following conditions: a < 0, b < 0. ## MATH EXAMPLE: Laws of Exponents: Example 17

### Example 17: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a > 0, b > 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 18

### Example 18: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a < 0, b > 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 19

### Example 19: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a > 0, b < 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 20

### Example 20: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a > 0, b > 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 21

### Example 21: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a < 0, b < 0, c > 0. ## MATH EXAMPLE: Laws of Exponents: Example 22

### Example 22: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a > 0, b < 0, c < 0. ## MATH EXAMPLE: Laws of Exponents: Example 23

### Example 23: Simplifying an exponential expression of the form x^a * x^b / x^c, under the following conditions: a < 0, b > 0, c < 0. 