To solve the expression $5(4^3)$:

1. Start by calculating the exponent $4^3$. $4^3 = 4 \times 4 \times 4 = 64$

2. Next, multiply the result by 5: $5 \times 64 = 320$

So, $5(4^3) = 320$.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. What is the value of $6(3^4)$?
2. How do you simplify $2(5^3) + 3(4^2)$?
3. What is the result of $(2^3)(4^2)$?
4. How would you solve $7 \times (2^5)$?
5. What is $3(5^2) - 4(2^3)$?

Tip: Always remember the order of operations (PEMDAS) when solving expressions, where exponents are evaluated before multiplication and division.