1. Lesson 5-1 Properties of Exponents
Objective:
Add, subtract, multiple and divide terms with exponents
Simplify exponents terms

2. Laws of Exponents Exponential form: The exponent of a power indicates
how many times the base multiplies itself.
n factors of x

3. Law of Exponents
Multiplying Powers: If you are multiplying Powers with the same base, KEEP the BASE & ADD the EXPONENTS!
Example:

4. Law of Exponents
Dividing Powers: When dividing Powers with the same base, KEEP the BASE & SUBTRACT the EXPONENTS!
Example:

5. Examples

6. Examples

7. Law of Exponents
Power of a Power: If you are raising a Power to an exponent, you multiply the exponents!
Example:

8. Law of Exponents
Product Law of Exponents: If the product of the bases is powered by the same exponent, then the result is a multiplication of individual factors of the product, each powered by the given exponent.
Example:

9. Law of Exponents
Quotient Law of Exponents: If the quotient of the bases is powered by the same exponent, then the result is both
numerator and denominator , each powered by the given exponent.
Example:

10. Examples

11. Examples

12. Law of Exponents
Negative Law of Exponents: If the base is powered by the negative exponent, then the base becomes reciprocal with the positive exponent.
Example:

13. Law of Exponents
Zero Law of Exponents: Any base powered by zero exponent equals one.
Example:

14. Examples

15. Examples