Question

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.

Answer 1

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.

Answer 2

So I multiply 10^-10 by 1000?

Answer 3

I would think so.

Answer 4

So its 100,000,000,000,000?

Answer 5

Okay, so, what do you think
\[\Large 10^{-10}\]means?

Answer 6

I did 10^-10 * 1000 and got 100,000,000,000,000

Answer 7

How? Why? lol

Answer 8

Well I asked if I multiply 10^-10 * 1000 and you said you think so :P

Answer 9

Yes, that's true, but how exactly did you arrive at your answer?
\[\Large \left.\begin{matrix}10^{-10}\cdot 1000&=&100 \ 000 \ 000 \ 000 \ 000\\&\color{red}?&\end{matrix}\right. \]

Answer 10

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

Answer 11

Hang on, why is \[\Large 10^{-10}\]equal to
100 000 000 000

Answer 12

I multiplied it out

Answer 13

...

Answer 14

Am I not suppose to do that...

Answer 15

What is \(a^{-1}\) ?

Answer 16

Sorry... the problem here is that the exponent was negative... so it's not as straightforward as simply 'multiplying out'

Answer 17

But first, @klimenkov asked you a question ^_^

Answer 18

Okay, now what about \[\Large a^{-n}\]

Answer 19

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

Answer 20

Okay... well, if you could do that with the 'a'
What is
\[\Large 10^{-10}\] ?

Answer 21

Now, what is \(10^{-10}\) ?