# How do you add exponents with different bases and powers?

## How do you add exponents with different bases and powers?

To multiply terms with the same base, keep the same base and add the powers together. To multiply terms with different bases but the same power, raise the product of the bases to the power. This can be expressed as: If the exponents have coefficients attached to their bases, multiply the coefficients together.

### Can you add exponential numbers with different bases?

It is possible to multiply exponents with different bases, but there’s one important catch: the exponents have to be the same. First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

When powers are same bases are different in addition?

If we multiply two exponents with the same base then their powers will add. If we divide two exponents with the same base then their powers will subtract.

What happens to exponents when you add?

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.

## How do you add exponents with different bases?

Adding numbers with exponents. Adding exponents is done by calculating each exponent first and then adding: a n + b m. Example: 4 2 + 2 5 = 4⋅4+2⋅2⋅2⋅2⋅2 = 16+32 = 48. Adding same bases b and exponents n: b n + b n = 2b n. Example:

### 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.

When to add or subtract exponents?

When we multiply two numbers with exponents, we add exponents only when they have common base. Similarly, when we divide two numbers with exponents, we should subtract the exponent of denominator from that of numerator provided they have common base.