An exponent calculator is used in solving exponential forms of expressions. It is also known as raise to the power calculator or power calculator.

For example, if you want to find out what 4 to the 3rd power is, input 4

in the first blank and 3 in the second.

Answer = 4 x 4 x 4

Answer: 64

## What is an Exponent?

The exponent is known as the powers or indices.
The exponent of a number is the number of times to use the number in a multiplication.
6^{5} is easier to write and read than 6×6×6×6×6.
Exponents can be positive whole numbers, negative numbers, fractional numbers or complex numbers.
You can also use the symbol ^ (above the 6 on your keyboard).

3^{2} is the same as 3^2.

3^{2} = 3×3 =9.

## Online Exponent calculator by calcunation.com.

This calculator can simplify problems with negative exponents, positive exponents and fraction exponents in the form of a decimal.
This calculator finds the power of a given base number. Such as 4 to the power of 3, or 3 to the power of 4.

## What is a positive exponent?

A positive exponent shows how many times a number is needed to be multiplied by itself.
Use this exponent calculator to solve your problems. An example would be
8^{3}=8×8×8=512.

## How to calculate negative exponents?

For a negative power base, its reciprocal is positive and after finding out the reciprocal of a negative exponent number its solution can be done.
In this calculator you can find out the result for a negative exponent. Just put a minus sign before the number in the open field box and the result will be computed.
a^{(-n)}=1/a^{n}

3^{(-2)}=1/3^{2} =1/9= 0.111.

## What is a fraction exponent?

If you want to compute fractions in this calculator just change it to decimal and get the result for fractional expression.
For example
5 to the power ½ can be computed by putting 0.5 in the exponent box.
How to calculate 0 or 1 exponent fraction?
If the exponent is 1, the result is the number itself.
6^{1}=6
If the exponent is zero then the result is 1
a^{0}=1.

6^{0}=1

## How to solve 0^{0}?

It could be either 1 or 0, and so it is called “Indeterminate”.
The following group expresses the above-mentioned rules of exponential expressions.
5^{2}= 25

5^{1}= 5

5^{0}= 1

5^{(-1)}= 1/5

5^{(-2)}= 1/25

## How to calculate the power of an exponent expression?

When an exponent expression further has power, then firstly you need to multiply the powers and then solve the expression using this calculator.
〖(a^{n}) 〗^{m} = a^{(n.m)}
Example: Solve 〖(a^{2}) 〗^{3}

〖(a^{2}) 〗^{3} = a^{6}

Now a^{6} can be easily calculated using this calculator.

Example:
〖(3^{2}) 〗^{4} = 3^{2x4}=3^{8}=6561

## How to multiply exponential equations?

If the different bases possess the same power the bases will possess the power separately.

Example: Simplify 〖(4×5)〗^{2}

4^{2}×5^{2}= 16×25
= 400

If the same bases possess different powers the powers will be added.

4^{2}×4^{3}= 4^{(2+3)} = 4^{5}

=4×4×4×4×4

=1024

In this calculator, you can easily calculate 4^{5} after manual simplification.
a^{n} x a^{m} =a^{(n+m)}

2^{2} x 2^{3} = 2^{(2+3)}

3^{2} x 2^{2} = (3x〖2)〗^{2}=6^{2}

## Division of exponential fractions or quotient property of exponents.

When two same bases have different exponents that are required to be divided then their powers are separated.

Example: Simplify 5^{7}/5^{3}
=5^{7}/5^{3} =5^{(7-3)}=5^{(4)}

=5×5×5×5

=625

In this calculator 5^{(4)} can be easily computed after the manual subtraction of exponents.

a^{n}/a^{m} =a^{(n-m)}

2^{3}/2^{2} =2^{(3-2)}

4^{2}/2^{2} =〖(4/2)〗^{2}=2^{2}=4

## Exponential Growth

Exponential growth refers to a process that increases quantity over time.
It happens due to the instantaneous rate of change of a quantity with respect to time being proportional to the quantity itself.
If you were to graph out the exponential of a known base, it would show a line that curves up and reaches near perfect vertical growth.
This concept is used in the Compound Growth Calculator.

This concept is used in the
Compound Growth Calculator.

### Exponent Examples.

2 to the power of 3 is 2x2x2, or 4x2, or 8.

3 to the power of 2 is 3x3, or 9.

3 to the power of 4 is 3x3x3x3, or 9x3x3, or 27x3, or 81.

3 to the power of 8 is 3x3x3x3x3x3x3x3, or 6,561.

4 to the power of 3 is 4x4x4, or 16x4, or 64.

7 to the power of 3 is 7x7x7, or 49x7, or 343.

8 to the power of 3 is 8x8x8, or 64x8, or 512.

In words 8^{3} could be called “8 to the power 3”