# Multiplying Variables with Exponents – Rule – Examples

**Multiplying Variables with Exponents – Rule – Examples**

**Multiplication of variables with exponents**

In this tutorial, we will learn the multiplication of variable with exponents.

If the base of a term is a variable, we use the same rules of multiplication that are used for numbers.

**When the variable bases are same, the powers are added.**

Example: Solve (a)² x (a)³

Solution: Here, variable base is same, that is a. So, we will add the exponents.

Thus, (a)² x (a)³

= (a)²⁺³

= (a)⁵

**When the variable bases are different and the powers are same, the bases are multiplied first.**

Example: (a)³ x (b)³

Solution: Here, variable base are different and powers are same, that is a. So, we will multiplied the bases.

(a)³ x (b)³

= (a x b)³

= (ab)³

**When the variable bases and powers are different, the exponents are evaluated separately and then multiplied. **

Example: (a)³ x (b)⁴

Solution: The variable bases and powers are different that is (a)³ x (b)⁴

Thus, (a)³ x (b)⁴

= (a)³ x (b)⁴