The following equation is in my text book:
$1.01 x10^5kg/m-s^2 \over (0.760m)(9.81m/s^2)$
and the following answer is this:
${1.35x10^4kg/m^3 }$
my question is this: where did the ${m^3}$ come from?
If I multiply .760m and 9.81m then I get ${7.4556m^2}$
even if the numerator has is $m^-1$, wouldn't the law of of exponents state that it's going to be -1 - 2 because you subtract the numerator exponent from the denominator exponent.
You have the answer in your question. The whole units of the numerator are $\frac {kg}{m\cdot s^2}$. The dash is an unfortunate symbol for multiplication. The numerator has length units of $m^{-1}$, the denominator has length units of $m^2$, so the fraction has length units of $-1-2=-3$. The answer has $m^3$ in the denominator, so length units of $m^{-3}$