It seems like you're dealing with the expression $4x \cdot 2x^5$.

Here’s how to simplify it:

1. First, multiply the constants: $4 \times 2 = 8$.
2. Now, apply the law of exponents: $x^1 \cdot x^5 = x^{1+5} = x^6$.

So, the simplified expression is: $8x^6$

Would you like further clarification or more examples?

Related questions:

1. How do you apply the laws of exponents in other contexts?
2. What happens when dividing powers with the same base?
3. How can expressions with negative exponents be simplified?
4. What are the steps to factor polynomials involving exponents?
5. How do you approach problems with multiple variables and exponents?

Tip: Always remember to combine like terms and apply exponent rules when simplifying algebraic expressions.