Here's the question you clicked on:
connexus.com
Ok so on this what do I do (Please don't give me the answer I just want to know what I need to do on it) Medical X-rays, with a wavelength of about 10^-10m, can penetrate completely through your skin. Ultraviolet rays, which cause sun burn by penetrating only the top level of skin, have a wavelength about 1000 times the wavelength of an X-ray. find the wavelength of ultraviolet rays. Show your work.
It seems too simple, but, you just do what the problem says, and, it seems it *explicitly* says '1000 times the...' which would normally indicate that you multiply by a factor of 1000.
So I multiply 10^-10 by 1000?
So its 100,000,000,000,000?
Okay, so, what do you think \[\Large 10^{-10}\]means?
I did 10^-10 * 1000 and got 100,000,000,000,000
Well I asked if I multiply 10^-10 * 1000 and you said you think so :P
Yes, that's true, but how exactly did you arrive at your answer? \[\Large \left.\begin{matrix}10^{-10}\cdot 1000&=&100 \ 000 \ 000 \ 000 \ 000\\&\color{red}?&\end{matrix}\right. \]
First I multiplied out 10^-10 and got 100,000,000,000 then I multiplied it by 1000 and got 100,000,000,000,000
Hang on, why is \[\Large 10^{-10}\]equal to 100 000 000 000
I multiplied it out
Am I not suppose to do that...
Sorry... the problem here is that the exponent was negative... so it's not as straightforward as simply 'multiplying out'
But first, @klimenkov asked you a question ^_^
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Okay, now what about \[\Large a^{-n}\]
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Now can we get back to the question sorry for the rush I just have a ton of work I have to get done tonight
Okay... well, if you could do that with the 'a' What is \[\Large 10^{-10}\] ?
Now, what is \(10^{-10}\) ?
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Was not thinking I have had so much going on today with school
That's right :) Now multiply THAT to 1000. And let me take the liberty of reminding you that \[\Large 1000 = 10^3\]
Ok so it equals 10^7
No... it's the bottom exponent that's bigger...
\[\Large 10^{-10}\cdot 10^3\] First law of exponents... when you multiply, with same base, ADD the exponents.
That's what I was doing...|dw:1377674852025:dw|
Yes. That's right :D \[\Large \frac1{10^7}=10^{-7}\]
Can you please help me on this one to? the wavelengths of visible light are between 3.8 * 10^-7m and 7.6 * 10^-7m. Are these wavelengths longer or shorter than those of ultraviolet rays? Explain On it do I need to simplify each scientific notation out and just put how I simplified them and put what one is bigger?