
law of exponents


The following is a list of laws useful for combining exponents of numbers:
Multiplication: a^{x}a^{y} = a^{x+y} Division: a^{x}/a^{y} = a^{xy} Power of a power: (a^{x})^{y} = a^{xy} Negative exponent: a^{x} = 1/a^{x} 
Any number, except zero, with the exponent 0 is equal to 1. For example, 100^{0} = 1.

