# What is the exponent calculator?

the **exponent calculator **can help you calculate the base, the power or, as the name suggests, the exponent, depending on the other two known variables. It’s free, easy to use and will definitely save you time.

## How to use the exponent calculator?

The concept couldn’t be simpler. Just enter the two known variables and the calculator will find the missing one for you.

Exponentiation is a mathematical function made up of 3 parts: the base, the exponent and the power. the **based** is the number that is multiplied by itself. the **exponent** is the number that represents how many times the base should be multiplied by itself. Finally, the **Power **is the end result or the number you get when you do the multiplication.

So, for example, if you know the base and the power, and you need to find the exponent that makes the statement true, you can easily do that with our calculator. Just enter the base and the power, and the exponent will be calculated.

Our calculator even works with negative exponents. Basically, when a number has a negative exponent, you have to calculate the reciprocal value of the base:

On the other hand, if the base is a negative number, there can be two outcomes. First, if the exponent is an odd number, the result will also be negative, due to the rules for multiplying negative numbers. If, however, the exponent is an even number, the result will be a positive number.

In scientific notation, powers of 10 are used to express very large (10 with a positive exponent) or very small (10 with a negative exponent) numbers.

If the exponent is 0, the result will always be 1. If you don’t know why, you can find the explanation in the full article on our official website.

## What is a fractional exponent?

If the exponent of a number contains a fraction, it is called a fractional exponent. So what do fractional exponents mean and how do you calculate with them? To understand how to use them, you need to be familiar with a function similar to exponentiation, which is roots.

The roots are the inverse of the powers.

So if:

then:

So how does this relate to fractional exponents? Well, we can actually write the roots as powers, where the exponent is a fraction. The general formula for this is:

To better demonstrate this, we can use the previous example:

In most cases, the numerator will be 1. Otherwise, the form is:

## How to solve fractional exponents?

Now that we know what fractional exponents are, we can start solving them. So what do you do when you see a fractional exponent? The easiest way to solve them is to convert them to roots, as we demonstrated earlier.

So, for example, if you had 144 ½, you could rewrite it as √144. Now all you have to do is calculate the square root of 144, which is 12.

Another useful method is for powers that have the same base. Namely, if you multiply two or more powers that have the same base, you can simply copy the base and add all the exponents. To add fractions you must keep in mind that to add them they must have the same denominators. If not, you need to expand one or more, so that they all have the same denominators.

Expanding fractions, sometimes called complication fractions, is done by multiplying the fraction by another fraction, whose numerator and denominator are equal (the fraction is equal to 1). Since you are effectively multiplying the fraction by 1, its value does not change, only its form:

Let’s do a quick example:

The lowest common denominator for 3 and 5 is 15.

Now all we have to do is copy the base and add the exponents:

We can rewrite it like this:

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