The expression to simplify is:

$(7x^5)(8x)$

Step-by-Step Simplification:

1. Multiply the constants: $7 \cdot 8 = 56$

2. Add the exponents of $x$ (using the property $x^a \cdot x^b = x^{a+b}$): $x^5 \cdot x^1 = x^{5+1} = x^6$

3. Combine the results: $56x^6$

Final Answer:

$\boxed{56x^6}$

Would you like a breakdown of any specific step or have further questions?

Related Questions:

1. What is the rule for multiplying powers with the same base?
2. How would this problem change if one of the terms was $x^0$?
3. Can you simplify $(3x^4)(5x^2)$?
4. How do you handle expressions where the bases are different, like $(7x^5)(8y^3)$?
5. What happens if negative exponents are involved, e.g., $(2x^{-3})(4x^2)$?

Tip:

When multiplying terms with the same base, always add the exponents.