exponent
C2Pronunciation
UK
- /ɛkspˈəʊnənt/
US
- /ˈɛkˌspoʊnənt/
Description
- power number
- raised number
- sign of repeated multiplication
- supporter of an idea
Imagine you're building with LEGO blocks. You could say, "I need eight blocks," or you could say, "I need two to the power of three blocks"—meaning two multiplied by itself three times (2 x 2 x 2 = 8). That little "power" number, the "3" in this case, is an exponent!
An exponent tells you how many times to multiply a number by itself. It's a shortcut for repeated multiplication. We write it as a small number raised above and to the right of another number, like 5<sup>2</sup> (which means 5 x 5 = 25). This use is common in math and science. The word can also describe a person who strongly represents or supports an idea or style. So when you see that little raised number, or hear someone called a leading voice for something, you're seeing the two main ways this word is used.
An exponent is a mathematical notation indicating how many times a base number is multiplied by itself. It's essentially shorthand for repeated multiplication. For example, in the expression 2<sup>3</sup> (read as "two to the power of three"), the "2" is the base and the "3" is the exponent. The result is 2 x 2 x 2 = 8.
While most commonly used in mathematics, the term "exponent" can also be used figuratively to describe a person who is a leading representative or supporter of a particular idea, theory, or style. Think of a famous musician who is a leading exponent of jazz; they don't just play the music, they embody and promote the entire genre.
In scientific notation, exponents are crucial for expressing very large or very small numbers concisely. For instance, the speed of light is approximately 3 x 10<sup>8</sup> meters per second. This notation is much cleaner than writing a 3 followed by eight zeros!
The concept extends beyond simple whole numbers as well. Advanced math utilizes negative exponents (to represent division or fractions) and fractional exponents (to represent roots). Understanding exponents is fundamental in fields like algebra, physics, computer science, and finance. Whether you're calculating areas, modeling population growth, or describing influential figures, the exponent—that small but mighty number—plays a powerful role in how we describe the world.
Examples
- 1
Math notation
In `2^5`, the 5 is the exponent.
- 2
Negative powers
A negative exponent gives you a fraction, so `10^-2` equals `0.01`.
- 3
Large numbers
The software uses exponents to show very large numbers on a small screen.
- 4
Arts advocate
She was an important exponent of modern dance in the 1960s.
Pattern
an exponent of + idea/art form
someone who strongly supports or represents it
Forms and spellings
2 forms open this card.
Main spelling
- exponentnoun
Forms
- exponentspluralnoun