The expression you have provided is $\left(2x - 13\right)^{n+1}$, which is a binomial expression raised to the power of $n+1$.

Here are a few common ways to deal with this expression depending on the context:

1. Expand using Binomial Theorem (for small values of $n+1$):

If $n+1$ is a small integer, we can expand $\left(2x - 13\right)^{n+1}$ using the binomial theorem: $(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$ where $a = 2x$, $b = -13$, and $n = n+1$.

2. Simplify or evaluate for specific values of $n+1$:

If you know the value of $n$, you can substitute it and simplify.

3. Take derivatives or integrals:

You could differentiate or integrate this expression with respect to $x$ depending on the context.

Do you need a specific operation performed on this expression (e.g., expansion, differentiation, etc.)?

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Here are five questions you could explore next:

1. Would you like to expand this expression for a particular value of $n$?
2. Do you need to find the derivative of this expression?
3. Would you like to see how to integrate this expression?
4. Do you need a specific numerical evaluation for some value of $x$ and $n$?
5. Are you interested in solving an equation involving this expression?

Tip: The binomial theorem is especially useful for expanding powers of binomials when dealing with integer exponents.