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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,646

This one went through SO MANY drafts ... how does it look to you? Variables with Exponents - How to Multiply and Divide them

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,945

The laws of exponents have been neatly presented and the graphics help in understanding the laws better. The following may be considered for inclusion on the page or a separate second page.

(a³)² = a^6

a^½ = √a

a^1/3 = cube root of a etc.

Excellent page, MathsIsFun!!!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,646

Thanks Ganesh, and welcome back ... we have missed you!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

Pretty neat at my kwik glance.

It's just too bad I can't visualize multiplying

in dimensions greater than 3 (up/down, left/right, back/toward).

Because if I could visualize blocks in 4-D like 3*3*3*3,

that would be helpful I think. I guess you could

visualize 3 cubes beside one another that are 3 by 3 by 3.

I'm rambling.

**igloo** **myrtilles** **fourmis**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,646

How about Density. Pour milk into coffee, and some places willl have 3 times as much milk as others ...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**luca-deltodesco****Member**- Registered: 2006-05-05
- Posts: 1,470

should you not include something on non-integer exponents, i.e. re-iterate that the addition rule doesn't just apply to integer exponents and cover things like ^0.5 = +/- square root etc or that square root is the principal root of ^0.5, the positive root. things like ^2/3 means, the cubic root, squared. for example 125^(2/3) = 5^2 = 25

*Last edited by luca-deltodesco (2007-10-05 01:54:08)*

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The End Of All Things To Come.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,646

Yes, maybe on another page ... what would I call the page?

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

Yes, density. Density is hard to think about spread out over different positions.

I've never considered that before.

**igloo** **myrtilles** **fourmis**

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