# How to Use Exponents to Write down Multiplication Expressions?

In this step-by-step guide, you will learn more about exponents and how to use them to write down multiplication expressions.

Exponential expression is a method of writing down powers in a short form.

The base number signifies which number gets multiplied.

An exponent is a small number written above the right-hand side of the base number. It shows the number of times the base number gets multiplied.

For instance, 8 may be written in a form of \(2×2×2=2^3\), \(2\) is the base, and \(3\) is the exponent. It is read as “two to the third power”.

**A step-by-step guide to** **using exponents to write down multiplication expressions**

To use exponents to write down multiplication expressions, follow these steps:

- Identify the number that is being multiplied. This is the base of the exponent.
- Write down the base with a superscript indicating the number of times the base is being multiplied.
- If the base is being multiplied by itself more than once, the exponent will be the number of times the base is being multiplied.

For example, to write down 2 x 2 x 2 x 2 using exponents, you would write: 2^4, where 2 is the base and 4 is the exponent indicating that 2 is being multiplied by itself 4 times.

**Using Exponents to Write down Multiplication Expressions – Example 1**

Write the expression using an exponent.

\(8×8×8×8=\)*__**Solution*:

Since \(8\) is used \(4\) times, so the base is \(8\) and the exponent is repeat times, that is, \(4\). So, it is \( 8^4\).

**Using Exponents to Write down Multiplication Expressions – Example 2**

Write the expression using an exponent.

\(5×5×5×5×5×5×5=\)*__**Solution*:

Since \(5\) is used \(7\) times, so the base is \(5\) and the exponent is repeat times, that is, \(7\). So, it is \(5^7\).

**Exercises for** **Using Exponents to Write down Multiplication Expressions**

**Write the expression using an exponent.**

- \(\color{blue}{4\times 4\times 4}\)
- \(\color{blue}{20\times 20\times 20\times 20\times 20}\)
- \(\color{blue}{125\times 125}\)

- \(\color{blue}{4^3}\)
- \(\color{blue}{20^5}\)
- \(\color{blue}{125^2}\)

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