Indices in mathematics

Indices, or exponents, are a mathematical notation that indicates how many times a number, known as the base, is multiplied by itself. For example, in \(2^3\), the 2 is the base, and the 3 is the index, meaning \(2 \times 2 \times 2\), which equals 8. Indices help simplify calculations and express large numbers compactly, like \(10^6\) for one million. They follow specific rules for multiplication, division, and powers of powers, making them fundamental in various fields, including science, engineering, and finance. Understanding indices can enhance problem-solving and analytical skills.