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\[125 cm^3 \rightarrow m^3\]

like conversion

start with what you are given, and multiply that by ratios of 1, until you get the units you need

times 10^-2?

1cm is 1m x 10^-2 right?

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just do the normal relationship between cm and m, then cube both

10^(-2) m = 1 cm
cube both sides
10^(-6) m^3 = 1 cm^3

so 125 x 10^-6 m^3 ?

|dw:1443321895711:dw|

so it's 125 x 10^-6 m^3 ?

thanks. :)

|dw:1443322494095:dw|
Oh ok what about 7.8 x 10^3 g/L to kg/mL?
I tried it

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do the "10^3" cancel out even if they aren't in the same unit?

Answer key says it's 7.8 x 10^-3 kg/ml

oh and the answer key for the first one says it's 125 x 10^-3 m^3 not 125 x 10^6 m^3, why?

|dw:1443322956160:dw|

combine all the powers of 10, it simplifies down to 10^(-3)

ohhhh I see know.

Thank you! ^_^

yep, no prob

m^3 *

hmm...

think the book typed it wrong

[1 cm] = [10^(-2) m] all you have to remember, or have a prefix chart
1^3*cm^3 = 10^(-2*3) m^3

Yeah I just looked at them and studied them. :) mili-10^-3, kilo-10^3, etc, etc. so useful! :D

i always do even for ones you can manually think how many powers apart they are

yeah.

you good for now at least...?

just kept keeping track