Factors of 4

Sissy Devane

New member
Joined
Aug 1, 2009
Messages
37
Multiply and simplify by factoring
?10,000 × ?10,000,000
Here is what I did,
I factored ?10,000 as ?(625•16)
I factored ?10,000,000 as ?(625•625•16•16)
So I have:
?625 • ?16 • ?625 • ?625 • ?16 • ?16
Then I simplified each fourth root:
5 • 4 • 5 • 5 • 4 • 4 = 8,000
Is this the proper way to do this problem? Is my answer correct?
 
Sissy Devane said:
Multiply and simplify by factoring
?10,000 × ?10,000,000
Here is what I did,
I factored ?10,000 as ?(625•16)
I factored ?10,000,000 as ?(625•625•16•16)
So I have:
?625 • ?16 • ?625 • ?625 • ?16 • ?16
Then I simplified each fourth root:
5 • 4 • 5 • 5 • 4 • 4 = 8,000
Is this the proper way to do this problem? Is my answer correct?

10,000 is 10[sup:q275w5lt]4[/sup:q275w5lt]
10,000,000 is 10[sup:q275w5lt]7[/sup:q275w5lt]

so, ?10,000 * ?10,000,000 = ?10[sup:q275w5lt]4[/sup:q275w5lt] * ?10[sup:q275w5lt]7[/sup:q275w5lt]
or,
10 * ?(10[sup:q275w5lt]4[/sup:q275w5lt] * 10[sup:q275w5lt]3[/sup:q275w5lt])
or,
10 * ?10[sup:q275w5lt]4[/sup:q275w5lt] * ?10[sup:q275w5lt]3[/sup:q275w5lt]

or,
10*10 * ?10[sup:q275w5lt]3[/sup:q275w5lt]

100 * ?10[sup:q275w5lt]3[/sup:q275w5lt]
 
Hello, Sissy!

Are those fourth roots?


Multiply and simplify by factoring : .10,0004×10,000,0004\displaystyle \sqrt[4]{10,000} \times \sqrt[4]{10,000,000}

We have:   1044×1074  =  104×1074  =  10114\displaystyle \text{We have: }\;\sqrt[4]{10^4}\times \sqrt[4]{10^7} \;=\;\sqrt[4]{10^4\times 10^7} \;=\;\sqrt[4]{10^{11}}

. . . . . . =  108×1034  =  1084×1034  =    =  102×1034  =  10010004\displaystyle = \;\sqrt[4]{10^8\times 10^3} \;=\;\sqrt[4]{10^8}\times \sqrt[4]{10^3} \;=\; \;=\;10^2\times\sqrt[4]{10^3} \;=\;100\sqrt[4]{1000}

 
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