# What is the rule for multiplying exponents with different bases?

Table of Contents

- 1 What is the rule for multiplying exponents with different bases?
- 2 Can you multiply coefficients with different variables?
- 3 What are terms with the same variable raised to the same exponent?
- 4 How do you multiply two variables with different terms?
- 5 How do you multiply exponents when multiplying?
- 6 What is the relation between two expressions that are not equal?

## What is the rule for multiplying exponents with different bases?

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

### Can you multiply coefficients with different variables?

When variables are the same, multiplying them together compresses them into a single factor (variable). But you still can’t combine different variables. When multiplying variables, you multiply the coefficients and variables as usual.

#### What are terms with the same variable raised to the same exponent?

Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.

**How do you multiply exponents with exponents?**

Multiplying exponents You can only multiply terms with exponents when the bases are the same. Multiply the terms by adding the exponents. For example, 2^3 * 2^4 = 2^(3+4) = 2^7. The general rule is x^a * x^b = x^(a+b).

**When dividing two numbers that are different but the same power but different bases What do we do?**

How to Divide Exponents with Different Bases and Same Powers? In order to divide exponents with different bases and the same powers, we apply the ‘Power of Quotient Property’ which is, am ÷ bm = (a ÷ b)m. For example, let us divide, 143 ÷ 23 = (14 ÷ 2)3 = 73.

## How do you multiply two variables with different terms?

To multiply terms, multiply the coefficients and add the exponents on each variable. The number of terms in the product will be equal to the product of the number of terms.

### How do you multiply exponents when multiplying?

When you’re multiplying exponents, use the first rule: add powers together when multiplying like bases. 52 × 56 =? The bases of the equation stay the same, and the values of the exponents get added together. Adding the exponents together is just a shortcut to the answer.

#### What is the relation between two expressions that are not equal?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

**When multiplying exponents with the same base add exponents True or false?**

The pattern for multiplying exponents with the same base is to keep the base and add the exponents. This works because we are combining two terms into one.