1. Exponent Laws

2. Definition
An exponent represents repeated multiplication.
n times

3. Be sure to use the correct terminology,
power
exponent
base
is read 4 to the exponent 6.

4. Multiplying Powers Example: What does this mean? Simplify
This is just the repeated multiplication of 3, six times!
Simplify

5. Exponent Law for Multiplication

6. Dividing Powers Example: What does this mean? = Simplify
Cancel the common factors from the numerator and denominator! =
Simplify

7. Exponent Law for Division
Exponent Law for Multiplication
Exponent Law for Division

8. Power of a Power Example: What does this mean? Simplify
This is just 5 squared, three times!
Simplify

9. Exponent Law for Multiplication
Exponent Law for Division
Power Law

10. Power of a Product Example: What does this mean? Regroup, Simplify
This is just the repeated multiplication of a product!
Regroup,
Simplify

11. Power of a Product Exponent Law for Multiplication
Exponent Law for Division
Power Law
Power of a Product

12. Power of a Quotient
The same reasoning holds when dividing powers.

13. Power of a Quotient Exponent Law for Multiplication
Exponent Law for Division
Power Law
Power of a Product
Power of a Quotient

14. Laws of Exponents Exponent Law for Multiplication
Exponent Law for Division
Power of a Power Law
Power of a Product
Power of a Quotient