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What is the exponent in front of a number?

Published in Exponents and Coefficients 2 mins read

The term "exponent" is not usually in front of a number; it's usually written as a superscript after a number called the base. It indicates how many times the base number is multiplied by itself. The concept of "exponent in front of a number" is more commonly associated with coefficients in algebraic expressions. Let's clarify both scenarios.

Exponents (Superscripts)

In the typical sense, the exponent is a small number written above and to the right of a base number.

An exponent is the number that says how many times to multiply the base. The exponent is the smaller number on top and the base is the number on the bottom. In this example, the base is 4 and the exponent is 3, which means that the 4 must be multiplied by itself three times, or 4 ⋅ 4 ⋅ 4 .

Example

Expression Base Exponent Meaning Result
43 4 3 4 4 4 64
25 2 5 2 2 2 2 2 32

Coefficients (In Front)

A coefficient is a number written in front of a variable (letter) in an algebraic term. This indicates how many of that variable are present.

Example

In the expression 3x, 3 is the coefficient and x is the variable. It means "three times x" or "x + x + x".

Expression Coefficient Variable Meaning
5y 5 y 5 * y
-2z -2 z -2 * z

Therefore, to best answer your question, it depends on what you are referring to. If you're thinking of the number that indicates repeated multiplication, that's the exponent and it's typically after the base. If you're thinking of the number in front of a variable in algebra, that's the coefficient.

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