Rewrite using a single positive exponent calculator

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. 65 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).
32 is the same as 3^2.
32 = 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 83=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/an
3(-2)=1/32 =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. 61=6 If the exponent is zero then the result is 1 a0=1.
60=1

How to solve 00?

It could be either 1 or 0, and so it is called “Indeterminate”. The following group expresses the above-mentioned rules of exponential expressions. 52= 25
51= 5
50= 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. 〖(an) 〗m = a(n.m) Example: Solve 〖(a2) 〗3
〖(a2) 〗3 = a6
Now a6 can be easily calculated using this calculator.
Example: 〖(32) 〗4 = 32x4=38=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
42×52= 16×25 = 400
If the same bases possess different powers the powers will be added.
42×43= 4(2+3) = 45
=4×4×4×4×4
=1024
In this calculator, you can easily calculate 45 after manual simplification. an x am =a(n+m)
22 x 23 = 2(2+3)
32 x 22 = (3x〖2)〗2=62

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 57/53 =57/53 =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.
an/am =a(n-m)
23/22 =2(3-2)
42/22 =〖(4/2)〗2=22=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 83 could be called “8 to the power 3”

The online Exponents Calculator can be helpful in converting any number from an exponential form into the standardized one to which we have all got used to. Besides the calculator is apt of carrying out simple calculations with numbers.

Note: Negative powers can also be used.

Remember! Any base raised to the power of zero is equal to 1. To write it shortly: a0=1 where a represents any number.

The number of decimal places is preset to be 2 to which the calculations are carried out, but it can be changed by the user.

Mathematical operations with exponents

The mathematical operation known as exponentiation refers to working with exponents. Exponents are a shorthand way of representing the repeated multiplication of a number by itself. For the argument's sake, we can take 35 which means that 3 is multiplied by itself 5 times. The 3 in this expression is the base number and the 5 is the exponent. We can also call the exponent the power to which the base is raised. When n is a positive number, exponents show the process of repeated multiplication of the base. In the world of algebra, exponents are often used for exponential functions are the opposite to the logarithmic functions and expressions. For instance, 23=8 in its exponential form, but if we represent it as a logarithm it would be log28=3.

Apart from this, we need to remember other basic operations with exponents. If the two base variables are the same and are multiplied by each other, like a5× a3=a8. So we add up the exponents. Division of the two similar base variables requires to subtract one exponent from the other, a5/a3=a2

Another important rule is when a number is raised to a power and is enclosed in brackets with another power. Then, we multiply the exponents (a5)3=a15. If we have a number that is rooted to any power, then we have an expression that looks like this: 5√a=a^(1/5). Lastly, if there is a negative exponent, then we divide 1 by the number raised to its power: a-5=1/a5