Question

1000 x 10^-10

helppp? walkthrough?

Answer 1

What is the question?
You have a number written in scientific notation. What are you trying to do?

Answer 2

noo its not scientific notation. its actually like seperate numbers being multiplied.
"An x-ray length is 10^-10 m. An ultraviolet wave is ten times the wavelength of an x-ray. Find the wavelength of ultraviolet waves."

Answer 3

If it's ten times, why are you multiplying by 1000?

Answer 4

\[10^-10\] is 10 * -10 * -10 * -10 * -10 * -10 * -10 * -10 * -10 * -10 * -10.

Answer 5

Oh wait, I think I messed up.

Answer 6

10 * 10^-10 = 10 / 10^10 = 10^(1-10) = 10^-9

Answer 7

Remember division of powers with the same base:
a^m/a^n = a^(m - n)

Answer 8

It's a thousand times 10 to the 10th power, though, math. It wouldn't be 10 * 10^-10, would it?

Answer 9

I still don't understand where the 1000 times comes from. The problem states a length of a certain wave is 10^-10 m, and the other length is 10 times larger. Where is the 1000 coming from?

Answer 10

i meant 1000 times larger

Answer 11

If you do want to do 1000 * 10^-10, then rewrite the 1000 as a power of 10:
1000 * 10^-10 =
10^3 * 10^-10 =
10^-7
The rule of multiplying powers with the same base is:
a^m * a^n = a*(m + n)

Answer 12

Oh, I see, it's 1000 time larger. Got it.

Answer 13

yeah so what do i do