1. Section 3.1 Basic Exponent Laws Objective:
Learn and apply the Product rule for exponents.
Learn and apply the Power of a Power rule for exponents.
Learn and apply the Quotient rule for exponents.

2. Example
Simplify
x2 ∙ x4
2x2 ∙ x5
2x2 ∙ 3y5
(2x2y3)(-5x4y2)

3. Product Rule of Exponents
For any real number a, m, and n,
am ∙ an = am+n

4. Example
Simplify.
Assume no denominator equals 0.

5. Quotient Rule of Exponents
For any real number a, except a = 0, and real numbers m and n,

6. Example
Simplify.
Assume no denominator equals 0.

7. 1 Zero as an Exponent Anything raised to the zero power is:
There is one exception to this rule…can you figure out what it is? 1

8. Power of a Power Rule of Exponents
(am)n = amn
(ab)m = ambm
𝑎 𝑏 𝑛 = 𝑎 𝑛 𝑏 𝑛 , 𝑏≠0

9. Example
Simplify each expression.
(a4)5 b. (-5p2s4)3
c d.

10. Example

11. Assignment
3.1 Worksheet