# Multiplying Algebra Exponents

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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.

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Image Copyright 2012 by Passy’s World

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

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

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We can also multiply and simply Algebra exponents.

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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.

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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.

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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.

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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.

Steps for Multiplying Algebra Terms

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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

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