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#1 2007-09-29 15:15:08

MathsIsFun
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Registered: 2005-01-21
Posts: 7,711

Variables with Exponents - How to Multiply and Divide them

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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#2 2007-09-30 00:54:26

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: Variables with Exponents - How to Multiply and Divide them

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 appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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#3 2007-09-30 09:22:36

MathsIsFun
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Registered: 2005-01-21
Posts: 7,711

Re: Variables with Exponents - How to Multiply and Divide them

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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#4 2007-10-04 18:33:46

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

Re: Variables with Exponents - How to Multiply and Divide them

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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#5 2007-10-04 18:51:06

MathsIsFun
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Registered: 2005-01-21
Posts: 7,711

Re: Variables with Exponents - How to Multiply and Divide them

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


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

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#6 2007-10-05 01:52:37

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

Re: Variables with Exponents - How to Multiply and Divide them

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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#7 2007-10-05 10:07:00

MathsIsFun
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Registered: 2005-01-21
Posts: 7,711

Re: Variables with Exponents - How to Multiply and Divide them

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


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

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#8 2007-10-12 13:12:10

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

Re: Variables with Exponents - How to Multiply and Divide them

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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