The given expression is:

$x^{3-2x-1}$

To simplify the exponent, let's first combine the constants in the exponent:

$3 - 2x - 1 = 2 - 2x$

So, the expression becomes:

$x^{2 - 2x}$

This is the simplified form of the given expression.

Would you like a further breakdown or more examples of similar problems?

Here are 8 related questions you might find useful:

1. How do you simplify expressions with exponents?
2. What is the general rule for combining like terms in an exponent?
3. How do you solve equations involving variables in the exponent?
4. What is the derivative of $x^{2 - 2x}$ with respect to $x$?
5. How do you evaluate $x^{2 - 2x}$ for specific values of $x$?
6. Can you solve for $x$ in the equation $x^{2 - 2x} = k$?
7. What happens when the