The Excel **EXP **function is also known as an exponential function. It is mainly a mathematics formula that returns the value of the constant **e **raised to the power of a given number. Whenever data values increase or fall exponentially (at an increasingly higher rate) then the **EXP **function helps to calculate the rate of growth or decay.

In this article, I will show you various examples of how you can use the Excel **EXP **function.

**Table of Contents**Expand

## EXP Function in Excel: Syntax

__Summary__

The **EXP **function calculates and returns the value of the constant **e **raised to the power of a given number. Here, **e **is a numeric constant, and the value of constant **e **is approximately **≈ 2.71828**.

The constant **e **denotes exponential growth and decay. The formula is **e**** ^{x}**.

__Syntax__

**EXP(number)**

__Arguments__

Arguments |
Required/Optional |
Explanation |
---|---|---|

number |
Required | The power that e is raised to |

__Return Value__

The **EXP **function returns the constant **e **raised to the power of a number.

__Version__

*The EXP function is available for Excel 2000 and later versions.*

## 1. Using The EXP Function to Get e Raised to The Power of a Number

To find the value of the constant **e **raised to a given number, you can use the **EXP **function.

Here, The **EXP **function mathematically form is **e**** ^{x }**or

**e^(number)**.

Now, I’m going to pass the number **-1** as the argument in the **EXP **function.

⏩ In cell **D4, **type the following formula to get the exponential value of the number **-1**.

`=EXP(B4)`

Here, in the **EXP **function, I selected the **B4 **cell as a **number**.

Then, press **ENTER**, and the **EXP **function will return an **exponential** value of the selected cell **B4**. Here, **e **raised to power **-1**.

You can follow the same process, or you can use the **Fill Handle** to get **e **raised value of the power of other values.

Here, you will get the value of **e **against the value **1 **which is **2.718281828**. It is known as the constant of **e**.

## 2. Using Excel EXP Function to Get The Rate of Growth Or Decay

You can use the **EXP **function along with **the** **ROUND function** to calculate the growth and decay of bacteria, viruses, and microorganisms.

Let me describe the process with an example. To demonstrate the procedure, I’m going to use a dataset that contains a **virus **count.

I’ve taken a sample of organic solutions. The information on the solution is given below.

Here, I want to calculate the count of viruses after 7 hours.

As we know, we have the formula to calculate the rate of growth or decay is

`A=Pe`

^{kt}

The formula expressions meaning is,

**A = **The ending amount that we want to calculate

**P = It** is the initial amount provided in the solution, **250**

**t** **= **It is the time of growth or decay, **7 hours**

**k = **It is the rate of decay or growth, **0.38**

To calculate the ending amount of virus **(A)** after **7 **hours. I going to use the described formula by using the **EXP **function. Which will be **A = P* EXP(k*t)**.

⏩ In cell **D9, **type the following formula to get the growth of the virus in a round figure.

`=ROUND(D6*(EXP(D7*D8)),0)`

Here, In the **ROUND **function, I used **(D6*(EXP(D7*D8) **as **number **and **0 **as **num**_**digits**.

In the **EXP **function, selected both the cells **D7 **and **D8** as numbers then multiplied it to get **e **raised value of the given number of both cells.

Then multiplied the **exponential **value with the **D6** cell and passed the result to the **ROUND **function to get only the integer value.

Now, press **ENTER**, and you will get the total number of viruses after 7 hours in the solution.

**3. Calculating Rapid Growth with The EXP Function in Excel**

Several times the earth faced virus or bacteria-infected diseases with a huge number of infections. In 2019 coronavirus came with a few numbers of infected cases but within 2020 it spread all over the planet. To track the spread of such types of virus or bacterial infections we can use the **EXP **function.

Here, I’m going to use a sample dataset to show you how we can use the **EXP **function to calculate the rate of growth of such types of data values.

To calculate how many persons have been infected at any time, I’m going to use the mathematical equation,

`N = N₀eᵃᵗ`

The equation expressions meaning,

**N = **Total number of people infected by virus

**a = **Rate of infection

**t = **Time (you can use day, hours, years, etc)

**N**_{0}** = **Initial number of infected people

⏩ In cell **D9, **type the following formula to get the growth of the virus.

`=C6*EXP(C7*C8)`

Here, In the **EXP **function, selected both the cells **C7 **and **C8** as numbers then multiplied it to get **e **raised value of the given number of both cells.

Then multiplied the **exponential **value with the **C6** cell to get the number of infected people after **30 **days.

Now, press the **ENTER** key and you will get the total number of infected people after **30 **days of the spread of the virus.

*If you want, you can use the ROUND function to get the round figure or only the integer number explained in Example 2.*

**4. Using EXP Function to Calculate Unknown Variable**

To plot any 2D graphs first you will need the values of the corresponding function. In case you have any exponential function then you can use the **EXP **function to calculate the function with exponent.

Here, I’m going to describe an exponential equation that is** y = ae**** ^{.-2x}**. I’m going to use a dataset where I have the values of

**x**and the

**slope**which is denoted as

**a**which is constant.

The formula is going to look like with the **EXP** function is,

`y =a* EXP(-2*x)`

⏩ In cell **C7, **type the following formula.

`=$E$4*EXP(-2*C6)`

Here, In the **EXP **function, selected the cells **C6 **and multiplied it with **-2 **to get **e **raised value of the given number.

Then, multiplied the **exponential **value with the **$E$4** cell which has the constant value of **a**. Here, I used absolute reference for the **E4 **as it is a constant value.

Now, press the **ENTER** key and you will get the value of **Y**.

Now, by using the **Fill Handle**, you will get all the values of **y** for corresponding **x**.

**Read More: **How to Calculate Exponential in Excel

**5. Calculating Population Growth with EXP Function in Excel**

To calculate the latest population of any city or country you can use the **EXP **function.

Here, I’ve taken a dataset of a couple of countries to calculate the population rate for 10 years. Also, I took the approximate rate of growth for all countries.

To calculate the population growth, I’m going to use an equation that is `P = P₀*e`

^{rt}` `

The formula expressions are,

**P = **Latest population

**r = **Rate of population growth

**t = **Time (years)

**P**_{0}** = **Initial population

⏩ In cell **E4, **type the following formula to get the growth of the virus.

`=C8*EXP($D$4*$D$5)`

Here, In the **EXP **function, selected the absolute reference of cells **$D$4 **and **$D$5** because the value of **D4 **and **D5 **are constant for other countries also. Then, multiplied both values to get **e **raised value of the given number.

Again, multiplied the **exponential **value with the **C8** cell to get the population of **2020**.

Now, press the **ENTER** key and you will get the population for **10 **years.

As the rate of growth and time is the same for other countries so you can use the **Fill Handle** to get the population of **2020**.

**Read More: **How to Make Exponent in Excel Text

**Things to Remember**

🔺 The **EXP **Function only takes the numeric values as an input. It shows **the #VALUE error** for non-numeric values.

🔺 Always be careful while using complex exponents formulas, if you misplace any brackets, you will get incorrect output.

**Download to Practice**

## Conclusion

In this article, I have shown 5 examples of the Excel **EXP **function. I also tried to cover the when and why the **EXP** function may show errors frequently. Last but not least, if you have any kind of suggestions, ideas, or feedback please feel free to comment down below.

## Excel EXP Function: Knowledge Hub

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