How did 27.84x10^-6 become 3.593x10^4? Integration Help

PCal
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1. The problem statement, all given data
I've been working through one of the lessons for my HNC and I'm totally stuck on how they got from 27.84x10^-6 to 3.593x10^4. I can follow it all fine including the integration after that section it's just the inbetween that I can't seem to get my head around! Any help would be greatly appreciated!

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PCal said:
1. The problem statement, all given data
I've been working through one of the lessons for my HNC and I'm totally stuck on how they got from 27.84x10^-6 to 3.593x10^4.

They may have used the ##1/x## button on a calculator!
 
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PeroK said:
They may have used the ##1/x## button on a calculator!
Yesss! Thank you!
 
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There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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