# How to divide variables with exponents

## Dividing exponents Variables with Exponents. How to Multiply and Divide them. What is a Variable with an Exponent? variable x with exponent 2. A Variable is a symbol for a.

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Exponents come up a lot in mathematics. When dividing exponents, the basic rule for exponents with the same base is you subtract the exponent in the denominator from the one in the numerator. To divide exponents in the same base, subtract the exponent on the second base the denominator in a fraction from the one on the first the numerator in a fraction. You can only use this rule when the base is the same. If you encounter expressions with different bases, the only way you can simplify them is by using the general rule on the parts with matching bases. In the term x b , the b is the exponent. Multiplying and dividing numbers with exponents is easy once you know two basic exponent rules.

Exponents are used in many algebra problems, so it's important that you understand the rules for working with exponents. Let's go over each rule in detail, and see some examples. Rules of 1. There are two simple "rules of 1" to remember. First, any number raised to the power of "one" equals itself.

Now that we have reviewed the rules for exponents, here are the steps required for simplifying exponential expressions notice that we apply the rules in the same order the rule were written above :. Example 1 — Simplify:.
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Dividing expressions that have exponents is easier than it looks. As long as you're working with the same base, all you have to do is subtract the values of the exponents from each other and keep the base the same. If you're struggling with this, jump down to Step 1 for easy instructions on getting through the process. To divide exponents with the same base, start by subtracting the second exponent from the first. For example, if your problem is m to the 4th power divided by m to the 2nd power, then you would subtract 2 from 4 in order to get 2.

## How to Divide Exponents

Dividing by a Monomial. Learning Objective s., The number being multiplied is called the base. There are rules for doing operations on exponential expressions.

## Exponents Division Calculator

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## Variables with Exponents

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1. Arehtrs says: