# How do you add variables with exponents?

Table of Contents

- 1 How do you add variables with exponents?
- 2 What is the exponent of the variable?
- 3 Is the highest exponent or the highest sum of exponents of the variables in a term?
- 4 Can you add and subtract exponents?
- 5 How do you find the exponent of a number?
- 6 Is the highest power or the sum of the powers exponents on the variables of a term in a polynomial?

## How do you add variables with exponents?

To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged. Only terms that have same variables and powers are added. This rule agrees with the multiplication and division of exponents as well.

## What is the exponent of the variable?

A Variable is a symbol for a number we don’t know yet. It is usually a letter like x or y. An exponent (such as the 2 in x2) says how many times to use the variable in a multiplication.

**Do you add the exponents when adding?**

Remember, to add or subtract numbers that have exponents you must first make sure that the base and exponent of the two terms you are trying to add or subtract are the same. If they are the same, then all you have to do is add together their coefficients and keep the base and exponent the same.

### Is the highest exponent or the highest sum of exponents of the variables in a term?

degree of

The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.

### Can you add and subtract exponents?

In order to add or subtract variables with exponents, you need to have like bases and like exponents, which means that the bases and exponents are the same. Even though the exponents are the same, these cannot be added or subtracted because their bases or exponents are different.

**How do you find the exponent?**

The base B represents the number you multiply and the exponent “x” tells you how many times you multiply the base, and you write it as “B^ x.” For example, 8^3 is 8X8X8=512 where “8” is the base, “3” is the exponent and the whole expression is the power.

## How do you find the exponent of a number?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6.

## Is the highest power or the sum of the powers exponents on the variables of a term in a polynomial?

degree

The degree of a polynomial function is the highest power of the variable that occurs in a polynomial. The term containing the highest power of the variable is called the leading term.

**What is the highest exponent in linear equation?**

exponent 1

A linear equation in one variable is an equation with the exponent 1 on the variable. These are also known as first‐degree equations, because the highest exponent on the variable is 1. All linear equations eventually can be written in the form ax + b = c, where a, b, and c are real numbers and a ≠ 0.