Image Source: http://www.cheatcc.com

Computer Games use “Game Physics Engines” which are low level programs inside the game to calculate the movement, interactions, and the geometry involved with the game.

These programs use lots of Algebra formulas in their Algorithms, and many of these formulas involve multiplying powers terms containing exponents.

If the mathematics isn’t correct in the game engine, then the game is not going to play at all like we would expect it to.

Revision of Previous Lessons

Before doing today’s lesson on “Multiplying Algebra Exponents” you need to make sure you understand some previous background work we have done in Algebra.

Check out the previous lesson links below for material on basic exponents and multiplication, and make sure you are familiar with what has been covered in these lessons.

http://passyworldofmathematics.com/multiplying-basic-alegebra-terms/

http://passyworldofmathematics.com/basic-exponents-and-indices/

http://passyworldofmathematics.com/algebra-powers-substitution/

http://passyworldofmathematics.com/multiplying-integers/

The most important previous work we will be using for our Algebra Multiplying involves the expansion and simplification of Powers.

Image Copyright 2012 by Passy’s World

Image Copyright 2012 by Passy’s World

Add Exponents When Multiplying Rule

Consider the expression 2 cubed times 2 to the power of 4.

We can expand the exponents and then work out a simplified answer.

Image Copyright 2012 by Passy’s World

We can also multiply and simply Algebra exponents.

Image Copyright 2012 by Passy’s World

There is a simple pattern that is happening here.

The final value of the exponent is always the added up total of the exponent values on the original bases.

This means we can use the following shortcut rule for multiplying exponents.

Image Copyright 2012 by Passy’s World

However, we need to be very careful when doing exponent multiplications.

Not all questions can have the Exponents Adding Rule applied to them.

Some questions have exponent terms which have different bases, and these questions do not involve using the shortcut adding rule.

Instead they are done by following the normal Algebra Multiplying process.

Image Copyright 2012 by Passy’s World

Remember to check very carefully that the big number or letter bases are the same before applying the “fast track” adding rule to multiplication problems.

Image Copyright 2012 by Passy’s World

Videos About Multiplying Exponents Rule

The following video is quite long and gets into working out some fairly involved questions towards the end, but is well worth watching as it covers everthing we need to know about Algebra Multiplication of Exponents.

Here is a video which summarises the main types of exponent multiplication questions.

This next video covers the same type of material as the other videos already included in this lesson.

Finally, if you would like to watch one more good video about Exponents Multiplication, then click the following link.

http://www.youtube.com/watch?v=cV3xWPyZpQI

Steps for Multiplying Algebra Terms

Image Copyright 2012 by Passy’s World

Remember to always check carefully that the bases are the same before applying the fast track adding rule to any terms in questions.

Multiplying Algebra Terms Examples

Image Copyright 2012 by Passy’s World

Image Copyright 2012 by Passy’s World

Image Copyright 2012 by Passy’s World

Image Copyright 2012 by Passy’s World

Image Copyright 2012 by Passy’s World

Related Items

Algebra Expressions

Algebra Terms Coefficients Variables and Constants.

Algebra Substitution Using Positive Numbers.

Algebra Substitution Using Negative Numbers.

Basic Powers Exponents and Indices.

Substitution Using Powers Exponents and Indices.

Identifying and Combining Like Terms.

Basic Algebra Multiplication.

Real World Algebra Formulas

Survivor Algebra – Class Activity

If you enjoyed this post, why not get a free subscription to our website.

You can then receive notifications of new pages directly to your email address.

Go to the subscribe area on the right hand sidebar, fill in your email address and then click the “Subscribe” button.

To find out exactly how free subscription works, click the following link:

If you would like to submit an idea for an article, or be a guest writer on our blog, then please email us at the hotmail address shown below.

If you are a subscriber to Passy’s World of Mathematics, and would like to receive a free PowerPoint version of this lesson valued at $4.99, but 100% free to you as a Subscriber, then email us at the following address:

Please state in your email that you wish to obtain the free subscriber copy of the “Algebra Exponents Multiplications” PowerPoint.

Feel free to link to any of our Lessons, share them on social networking sites, or use them on Learning Management Systems in Schools.

Enjoy,

Passy

Pingback: Algebra Dividing and Exponents | Passy's World of Mathematics

Pingback: Expanding Brackets Using Distributive Rule | Passy's World of Mathematics

Pingback: Dividing Exponents | Passy's World of Mathematics

Pingback: Power of Power Rule for Exponents | Passy's World of Mathematics

Pingback: Expanding Exponent Products | Passy's World of Mathematics

Pingback: Exponents in the Real World | Passy's World of Mathematics

Pingback: Zero and Negative Exponents | Passy's World of Mathematics

Pingback: Scientific Notation | Passy's World of Mathematics

Pingback: Significant Figures | Passy's World of Mathematics