What happens when numbers with exponents are multiplied?

Related Topics:

Introduction to Exponents

Rules of Exponents

Using Exponent Rules

Related Topics:

Introduction to Exponents

Rules of Exponents

Using Exponent Rules

When multiplying numbers in exponent notation with the **same base**, we can add the exponents.

Consider:

This is the **first law of exponents**:

*Example: *

Simplify the following; give your answers in exponent form

* Solution: *

** Common Error** : The first law of exponents does **NOT** apply to addition of numbers in exponent notation.

The following video shows some examples of adding exponents.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.