This weekend I was watching Terminator 2 (editor cut). In the end, after T-1000 is destroyed, Arnold asks Sarah and John to destroy him by melting and says "I cannot destroy myself".

So, what does this mean? The terminator cannot destroy himself unless it is absolutely necessary in order to succeed in his mission (like protect John?)?

In that case, what was the Terminator in part 1 going to do after the success of his mission (i.e. destroy Sarah)? Just live a long happy life and wait for Skynet arise?

Update:
I understand that this is not the exact Third law of Asimov, since the terminators definitely don't follow the First or Second law. Let's call it the law of self-preservation. Does terminator have a form of self-preservation to some point and the prohibition of suicide?


Question: How to do this indices example?
Answer: $$\frac{2^5\cdot3^3}{6^2}=\frac{2^2\cdot2^3\cdot3^2\cdot3}{6^2}=\frac{(2^2\cdot3^2)\cdot2^3\cdot3}{6^2}=\frac{(2\cdot3)^2\cdot8\cdot3}{6^2}=\frac{6^2\cdot24}{6^2}=24$$

Added: You tried

$$\frac{2^5r^{10} * 9r^{12}}{6r^6} = \frac{311r^{22}}{36r^6}= something-strange\;.$$

The first problem is that $(3r^4)^3=3^3r^{12}=27r^{12}$, not $9r^{12}$. I’m not sure how you got $311$: $2^5\cdot9=32\cdot9=288$, and the correct $2^5\cdot27=864$. In the denominator you have two errors that cancelled each other out: the original $(6r^3)^2$ is $6^2r^6$, not $6r^6$, but that means that $36r^6$ is correct. With the arithmetic errors corrected, you have a numerical coefficient of

$$\frac{864}{36}=24\;.$$