**Instructions:**

- Enter the base and exponent values.
- Check the "Calculate Square Root" box if you want to calculate the square root.
- Click the "Calculate" button to perform the calculation.
- The result will be displayed along with the detailed explanation and formula used.
- Your calculation history will be listed below.
- Click the "Clear" button to clear the input fields and result.
- Click the "Copy" button to copy the result to the clipboard.

**Calculation Details:**

**Calculation History:**

The Exponents Calculator is a tool that helps to calculate the value of a number raised to a power. It is a simple and easy-to-use tool that can be used to simplify expressions, solve equations, and find roots of polynomials.

## Concepts

### Exponents

An exponent is a mathematical operation that indicates the number of times a number is multiplied by itself. For example, 2^3 means 2 is multiplied by itself 3 times, which is equal to 2 × 2 × 2 = 8.

### Powers

A power is the result of raising a number to an exponent. For example, 2^3 = 8, where 2 is the base and 3 is the exponent.

### Laws of Exponents

The laws of exponents are a set of rules that govern the manipulation of exponents. These laws are used to simplify expressions, solve equations, and find roots of polynomials. The basic laws of exponents are:

- Product Law: a^m × a^n = a^(m+n)
- Quotient Law: a^m / a^n = a^(m-n)
- Power Law: (a
^{m)}n = a^(mn) - Negative Exponent Law: a^-m = 1/a^m
- Zero Exponent Law: a^0 = 1

### Scientific Notation

Scientific notation is a way of expressing numbers that are very large or very small. It is a shorthand way of writing numbers using powers of 10. For example, the number 300,000,000 can be written as 3 × 10^8 in scientific notation.

## Formulae

The formula for calculating the value of a number raised to a power is as follows:

a^n = a × a × a × … × a (n times)

## Benefits

The Exponents Calculator has several benefits, including:

- It simplifies expressions.
- It solves equations.
- It finds roots of polynomials.
- It saves time and effort.

## Interesting Facts

- The number e, which is approximately equal to 2.71828, is a special number in mathematics that is used in many areas of science and engineering. It is the base of the natural logarithm function.
- The number 2^64 is approximately equal to 18.4 quintillion, which is a very large number.
- The number 2^-64 is approximately equal to 5.42101 × 10^-20, which is a very small number.

**References**

- Weisstein, Eric W. “Exponent.” From MathWorld–A Wolfram Web Resource
^{1}. - Sloane, N. J. A. Sequence A001348 /M2930 in “The On-Line Encyclopedia of Integer Sequences.”
^{1}. - OpenStax. “1.2 Exponents and Scientific Notation.”
^{2}.

Last Updated : 11 December, 2023

Emma Smith holds an MA degree in English from Irvine Valley College. She has been a Journalist since 2002, writing articles on the English language, Sports, and Law. Read more about me on her bio page.