In these lessons, we will learn the Rules of Exponents and how they can be used to simplify expressions.

Related Topics:

More Arithmetic Lessons, More Algebra Lessons

Multiplication Rule:

To multiply powers with the same base, keep the base the same and add the exponents.

Division Rule:

To divide powers with the same base, keep the base the same and subtract the exponents.

Power Rule:

When a power has an exponent, keep the base the same and multiply the exponents.

The following video shows examples using the first rule of exponents and the second rule of exponents:
The next video shows examples using the third rule of exponents and the fourth rule of exponents:

Tutorial on the Basic Exponent Rules

Multiplication, Division, Power of a Power
Learn exponent rules through music and songs.

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.

Related Topics:

More Arithmetic Lessons, More Algebra Lessons

Multiplication Rule:

To multiply powers with the same base, keep the base the same and add the exponents.

Division Rule:

To divide powers with the same base, keep the base the same and subtract the exponents.

Power Rule:

When a power has an exponent, keep the base the same and multiply the exponents.

Some of the Rules of Exponents or Laws of Exponents are summarized as follows:

We will now consider combined operations of multiplication and division on numbers in exponent form, using all the rules of exponents introduced above.

* Example: *

Simplify the following expressions, giving your answers in exponent form:

*
Solution: *

Multiplication, Division, Power of a Power

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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.

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