Google - How many um^3 are in 2.0 x 10^-3 m^3?

Why do you preface your question with google? A lot of people do that and it is very annoying because this is not google.

Why are you taking chemistry if you have not mastered simple arithmetic? You must be perfectly prepared in arithmetic to do well in chemistry. You also must get out of the habit of making mistakes, such as prefacing your question with meaningless code words, and going into situations without being prepared. There are lots of situations in chemistry where people are badly injured or even killed because they didn't bother to study the business before they started the experiment.

Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.

Other rulers are divided into 10 and 100 parts. But an inch is still an inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.

physics.nist.gov/cuu/Units/prefixes.html

You just have to memorize this stuff, at least the ones you work with all the time. It's ok to bookmark the page so you can look up the others when you run across them.

There is a prefix every three powers of ten, except for 100, 10, 1/10, and 1/100. To go from one to another you use the LARD rule: LEFT ADD RIGHT DEDUCT. When moving the decimal to the LEFT you ADD to the power of ten. When going to the RIGHT you DEDUCT from the power of ten.

Now we can address your question. "How many um^3 are in 2.0 x 10^-3 m^3?"

We call this a snake because if you don't watch out you will get bit. 2.0 x 10^-3 cubic meters does not mean the same thing as 2.0 cubic millimeters. A meter is 10^6 micrometers, so a cubic meter is (10^6)^3 cubic micrometers, which is to say 10^18 cubic micrometers.

ANSWER: 2.0 x 10^-3 x 10^18 = 2.0 x 10^15 cubic micrometers.

You might have gotten very different numbers if you interpreted the given information some other way.