1What is the Exponent of Zero Law? Example: 5 to the power of 0
Any nonzero number raised to the power of 0 equals 1. Example: 5⁰ = 1
2What is the Exponent of One Law? Example: 5 to the power of 1
Any number raised to the power of 1 equals itself. Example: 5¹ = 5
3What is the Exponent Product Law? Example: 2² times 2³
When multiplying powers with the same base, add the exponents. Example: 2² × 2³ = 2⁵
4What is the Exponent Quotient Law? Example: 5³ divided by 5²
When dividing powers with the same base, subtract the exponents. Example: 5³ ÷ 5² = 5¹ = 5
5What is the Exponent Power Law? Example: (2²)³
When raising a power to another power, multiply the exponents. Example: (2²)³ = 2⁶
6What is the Power of Products Law? Example: (2 × 3)²
Raise each factor to the exponent. Example: (2 × 3)² = 2² × 3²
7What is the Power of Quotients Law? Example: (6 divided by 2)²
Raise both the numerator and denominator to the exponent. Example: (6 ÷ 2)² = 6² ÷ 2²
8What is the Negative Exponent Law? Example: 2 to the power of negative 3
A negative exponent means take the reciprocal. Example: 2⁻³ = 1 ÷ 2³ = 1/8
9What is the Fractional Exponent Law? Example: 8 to the power of one-third
The denominator is the root and the numerator is the power. Example: 8^(1/3) = cube root of 8 = 2