In mathematics, standard form refers to a standard way of writing numbers, equations, or expressions using a certain set of rules. It is a special way of writing numbers or equations that helps us easily compare and work with them. The key point to remember is that we always have to write standard form in a general format where the front number is a number bigger than or equal to 1 but less than 10, and the power or index can be any positive or negative whole number.

For example, the number 81,900,000,000,000 can be written in standard form as 8.19 x 10^13. Similarly, the equation x^2 - 7 can be written in standard form as x^2 = 7. Standard form is used to represent very large or very small numbers concisely. It is also known as scientific notation, depending on the mathematical lingo of the country.

In summary, standard form is a way of writing mathematical elements in a consistent format that includes a coefficient and a power of 10. It is a useful tool in mathematics that allows us to represent numbers and equations clearly and consistently.