### Instruction: Compute $317^{3}+8^{3}-(2^{(3^{2})}+317^{3})$.### Response: This problem involves some large exponents, but I notice that some terms cancel out nicely.
Specifically, $317^{3}$ appears in both the first and the last term, so I can subtract them to get zero.
That simplifies the expression to $8^{3}-2^{(3^{2})}$.
Now, I need to evaluate these two powers.
I know that $8=2^{3}$, so $8^{3}=(2^{3})^{3}=2^{9}$.
I also know that $3^{2}=9$, so $2^{(3^{2})}=2^{9}$ as well.
So, I actually have $2^{9}-2^{9}=0$.
That means the whole expression is equal to zero.