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 $\hspace{0.2em} 5 \hspace{0.2em}$.

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

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

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.

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

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

Here's a quick overview of what exponents are.

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.

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 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,

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

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