Introduction to Laws of Indices The laws of indices, also known as exponent rules, are a set of mathematical principles that govern the operations involving powers or exponents. These rules provide a systematic approach to simplifying expressions and solving equations that involve exponents. Exponents are a shorthand notation for repeated multiplication. For example, 2^3 is equivalent to 2 × 2 × 2. The laws of indices outline how to manipulate exponents in various operations, such as multiplication, division, raising a power to a power, and finding the nth root.