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.

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

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

Example Simplify. Assume no denominator equals 0.

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

Example Simplify. Assume no denominator equals 0.

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

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

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

Example

Assignment 3.1 Worksheet