An exponent is a mathematical operation that involves two numbers: the base and the exponent or power. The exponent tells us how many times to use the base in a multiplication. For example, 2 to the 3rd power (written as 2^3) means 2 multiplied by itself three times, resulting in 8. When an exponent is a positive integer, it indicates how many copies of the base are multiplied together. Exponents can also be defined for a wide variety of algebraic structures, including matrices. They are used extensively in many fields, including economics, biology, chemistry, physics, and computer science, with applications such as compound interest, population growth, chemical reaction kinetics, wave behavior, and public-key cryptography.