# Can you add together numbers with different exponents?

Table of Contents

## Can you add together numbers with different 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 solve a number with multiple exponents?

When you multiply two variables or numbers that have the same base, you simply add the exponents. Thus x3*x4 = x3+4 = x7.

## What are the rules when adding exponents?

The first rule to remember when adding with exponents is the order of operations: parenthesis, exponents, multiplication, division, addition, subtraction. This order of operations places exponents second in the solving scheme. So if you know both the base and the exponent, solve them before moving on.

## How do you add variables with exponents?

Adding Variables With Exponents Find terms with the same base and the same exponent. Add the terms with the same base and exponent. Add the coefficients of the like terms. Write out the final, simplified addition sentence.

## How do you add terms with exponents?

Add terms together only when the bases and exponents are both the same. For example, you can add y^2 + y^2, because they both have a base of y and an exponent of 2. The answer is 2y^2, because you are taking the term y^2 two times. Compute each term separately when either the bases, the exponents or both are different.

## Can you add variables with different powers?

To add or subtract with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are. When adding or subtracting with powers, the terms that combine always have exactly the same variables with exactly the same powers.