Superscript — Definition, Formula & Examples
A superscript is a small number, letter, or symbol written slightly above and to the right of another character. In math, superscripts are most commonly used to show exponents, such as the 3 in .
A superscript is a typographical convention in which a character is set above the normal line of text and rendered in a smaller size, positioned to the upper right of a base character. In mathematical notation, superscripts denote exponentiation, derivatives, inverse functions, and indices in certain contexts.
How It Works
When you see a superscript in math, its meaning depends on context. Most often, the superscript tells you how many times to multiply the base by itself: means . A superscript of on a function, like , indicates the inverse function rather than a negative exponent. In units of measurement, superscripts appear in expressions like for square meters. Always check the context to interpret a superscript correctly.
Worked Example
Problem: Evaluate , where the superscript 3 tells you the exponent.
Read the superscript: The base is 4, and the superscript 3 means "raise 4 to the third power," or multiply 4 by itself three times.
Compute: Multiply step by step: 4 times 4 is 16, then 16 times 4 is 64.
Answer:
Why It Matters
Superscripts appear throughout algebra, geometry, and science whenever you work with exponents, areas, volumes, or scientific notation. Recognizing what a superscript means is essential for reading formulas correctly in courses from pre-algebra onward.
Common Mistakes
Mistake: Confusing a superscript with a subscript. For example, reading and as the same thing.
Correction: A superscript sits above the baseline (like , meaning "x squared"), while a subscript sits below (like , meaning "x sub 2," often a label or index). Their positions carry completely different meanings.