Question

rewrite this measurement with a simpler unit, if possible. 2.5 $\frac{kgcdot m}{m^{2}cdot m^{2}}$. note: if you can simplify the unit at all, it may be possible to make mo

Explanation:

Step1: Combine the powers of m in the denominator

According to the rule $a^m\cdot a^n=a^{m + n}$, we have $m^2\cdot m^2=m^{2 + 2}=m^4$. So the expression becomes $2.5\frac{kg\cdot m}{m^4}$.

Step2: Simplify the fraction with the same - base powers

According to the rule $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{m}{m^4}=m^{1-4}=m^{-3}$. So the simplified unit is $2.5\frac{kg}{m^3}$.

Answer:

$2.5\frac{kg}{m^3}$