CCSS

These are the resources that support this Common Core Standard.

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.