Exponent Calculator

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Base $\hspace{0.2em} (a)\, = \, \hspace{0.2em}$

Exponent $\hspace{0.2em} (n)\, = \, \hspace{0.2em}$

Please provide your input and click the calculate button

About the Exponent Calculator

The exponent calculator lets you calculate the value of numbers raised to a certain exponent, including large exponents. The bases can have up to $\hspace{0.2em} 7 \hspace{0.2em}$ digits and the exponent upto $\hspace{0.2em} 5 \hspace{0.2em}$ .

Usage Guide

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i. Valid Inputs

When using the simple calculator, both $\hspace{0.2em} a \hspace{0.2em}$ and $\hspace{0.2em} n \hspace{0.2em}$ can be in any of the following formats.

Whole numbers or decimals → $\hspace{0.2em} 2 \hspace{0.2em}$ , $\hspace{0.2em} -4.25 \hspace{0.2em}$ , $\hspace{0.2em} 0 \hspace{0.2em}$ , $\hspace{0.2em} 0.33 \hspace{0.2em}$
Fractions → $\hspace{0.2em} 2/3 \hspace{0.2em}$ , $\hspace{0.2em} -1/5 \hspace{0.2em}$
Mixed numbers → $\hspace{0.2em} 5 \hspace{0.5em} 1/4 \hspace{0.2em}$

Please note that depending on the combination of $\hspace{0.2em} a \hspace{0.2em}$ and $\hspace{0.2em} n \hspace{0.2em}$ , the result might be too large for the "simple" calculator to handle.

For the large exponents calculator, both the base and exponent must be non-negative integers. $\hspace{0.2em} a \hspace{0.2em}$ can have upto $\hspace{0.2em} 7 \hspace{0.2em}$ digits and $\hspace{0.2em} n \hspace{0.2em}$ can have a maximum of $\hspace{0.2em} 5 \hspace{0.2em}$ digits.

ii. Example

If you would like to see an example of the calculator's working, just click the "example" button.

iii. Share

We would love to see you share our calculators with your family, friends, or anyone else who might find it useful.

By checking the "include calculation" checkbox, you can share your calculation as well.

Here's a quick overview of what exponents are.

What Is an Exponent?

Exponents (also known as indices or powers) are shorthand for repeated multiplication. The exponent of a number tells us how many copies of it are multiplied together.

For example, $\hspace{0.2em} 3^4 \hspace{0.2em}$ would mean we are multiplying four $\hspace{0.2em} 3$ s together. So,

\begin{align*} 3^4 \hspace{0.2em} &= \hspace{0.2em} 3 \times 3 \times 3 \times 3 \\[1em] &= \hspace{0.2em} 81 \end{align*}

As you can see, we write the exponent as a superscript (the small number at the top). The number carrying the exponent is known as the base.

Also, we read $\hspace{0.2em} 3^4 \hspace{0.2em}$ as "three to the fourth". There are several other ways to read it as well, but this shall do.

Zero As an Exponent

Any non-zeo number raised to the zeroth power equals $\hspace{0.2em} 1 \hspace{0.2em}$ .

a^0 \hspace{0.25em} = \hspace{0.25em} 1 \hspace{0.25em}, \hspace{1em} a \neq 0

For example, $\hspace{0.2em} 8^0 \hspace{0.25em} = \hspace{0.25em} 1 \hspace{0.2em}$ . Similarly, $\hspace{0.2em} (-2)^0 \hspace{0.25em} = \hspace{0.25em} 1 \hspace{0.2em}$

Negative Exponents

Negative exponent of a number is the same as the reciprocal of its positive exponent. So,

a^{-n} \hspace{0.25em} = \hspace{0.25em} \frac{1}{a^n}

For example,

4^{-2} \hspace{0.25em} = \hspace{0.25em} \frac{1}{4^2}