Simplify Complex Expression: (x^4⋅x^8⋅x^(-3))/(x^(-4)) ÷ (x^10⋅x^3)/x^5

$\frac{x^4x^8x^{-3}}{x^{-4}}_{——}\frac{x^{10}x^3}{x^5}$

To solve the problem, follow these steps to simplify both expressions using exponent rules:

First Expression: $\frac{x^4 x^8 x^{-3}}{x^{-4}}$

• Combine the exponents in the numerator: $x^{4+8-3} = x^9$.
• Apply the quotient rule: $\frac{x^9}{x^{-4}} = x^{9 - (-4)} = x^{9 + 4} = x^{13}$.

Second Expression: $\frac{x^{10} x^3}{x^5}$

• Combine the exponents in the numerator: $x^{10+3} = x^{13}$.
• Apply the quotient rule: $\frac{x^{13}}{x^5} = x^{13-5} = x^8$.

Now we compare the results:
First Expression: $x^{13}$
Second Expression: $x^8$

In general, $x^{13}$ is larger than $x^8$ for positive $x$, but since $x$ could be any real number not zero, the full comparison could vary for negative $x$.
Therefore, given the context, it's difficult to calculate a single universal answer without more information on the value of $x$.

Thus, it is not possible to calculate universally between these expressions.

Therefore, our answer is Choice 4: It is not possible to calculate.