Negative exponent in denominator

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The discussion centers around a student's confusion regarding a unit conversion in a chemistry exam where they used a negative exponent. The student calculated that 100 seconds multiplied by 1 nanosecond divided by 10^-9 seconds equals 10^11 nanoseconds, questioning whether this approach was incorrect. Responses indicate that the calculation is mathematically valid, although it would be clearer to express it with 10^9 nanoseconds in the numerator. Despite the correctness of the method, the professor marked all answers wrong, leading to frustration from the student. Suggestions include accepting the professor's grading style for future assignments and potentially seeking support from a physics teacher. There is also a suggestion to review the exam for any other possible mistakes that may have contributed to the overall grading.
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So, I took an exam on conversion of units in chemistry and I put a negative exponent on the bottom:

100s* 1nanoseconds/10^-9s = 10^11 ns,

Is this wrong? If it's possible in math, why not in chemistry? My professor marked all my answers wrong due to this. Is there any way to argue my reasoning? Thanks in advance.
 
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It is correct, although it would be better to write it with 10^9 ns in the numerator and 1 s in the denominator.

But it is right, and your chemistry teacher was wrong to mark it wrong.
 
What can I do? She will not give me the points back...
 
luvofgod said:
What can I do? She will not give me the points back...
I don't think there's much you can do, unfortunately. Take note, and do things the way she wants on future assignments and tests.
 
I think it is very clever. What was her argument about it being wrong? Maybe you can get a physics teacher on your side.
 
luvofgod said:
So, I took an exam on conversion of units in chemistry and I put a negative exponent on the bottom:

100s* 1nanoseconds/10^-9s = 10^11 ns,

Is this wrong? If it's possible in math, why not in chemistry? My professor marked all my answers wrong due to this. Is there any way to argue my reasoning? Thanks in advance.
What you've shown here is perfectly correct. Is it possible that you made mistakes in other parts of the problem that gave you the wrong final answer?

If you attach a scanned page from your marked test, we can tell you exactly where any mistake is (or if there is none).
 
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