Exponent Calculator

Written by:
PK

On this page is an exponent calculator. Enter a base b and an exponent or power n, and we'll compute the result of exponentiation.

What is an Exponent?

An exponent is a power or a symbol in mathematics which is shorthand to multiple a number by itself n times. Exponentiation means to find the result of raising a base to some exponent or power n.

Exponentiation is the opposite of taking a logarithm. Where in exponentiation we know the base and the power, in a logarithm we know the result and the base. In that way, we can convert back and forth between the two.

Exponent Formula

The formula for an exponent is:

{\displaystyle b^{n}=\underbrace {b\times b\times \dots \times b \times b} _{n\,{\textrm {times}}}.}

Where:

• b: the base of the equation (the number we need to raise/take a power/exponentiate)
• n: the power or exponent

If the power is a fraction it's a bit trickier. See our dedicated fraction exponent calculator for more.

Exponent Example

For example, let's say you wanted to find 5^5. Here's how it'd work

5^5=\\5*5*5*5*5=\\25*5*5*5=\\125*5*5=\\625*5=\\3125

5 raised to the fifth power is 3,125.

Using the Exponent Calculator

You only need to enter two numbers to get the result of exponentiation: the base b and the power or exponent x. Enter those to match a "b raised to the x power" statement.

When happy, hit Compute Exponent and we'll return the result of the calculation.

Next, try our other tools and calculators.

PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK is in his mid-30s and works and lives in the Bay Area with his wife, two kids, and dog.