Rewrite this measurement with a simpler unit, if possible.

[tex]\[
9.9 \, \text{g} \cdot \text{cm}^2 \cdot \text{g} \cdot \text{cm}
\][/tex]



Answer :

Sure, let's simplify the given measurement step by step.

We start with the measurement:
[tex]\[ 9.9 \, g \cdot cm^2 \cdot g \cdot cm \][/tex]

First, let's rearrange the terms to group like units together:
[tex]\[ 9.9 \, (g \cdot g) \cdot (cm^2 \cdot cm) \][/tex]

We then combine the like terms:
[tex]\[ 9.9 \, g^2 \cdot cm^{2+1} \][/tex]

Thus, we get:
[tex]\[ 9.9 \, g^2 \cdot cm^3 \][/tex]

So, the simplified unit of the measurement is:
[tex]\[ 9.9 \, g^2 \cdot cm^3 \][/tex]

Hence, the measurement rewritten with a simpler unit is:
[tex]\[ 9.9 \, g^2 \cdot cm^3 \][/tex]