The expression given in the image is $5^3 \cdot 2^1$.

Let's calculate the value step by step:

1. $5^3 = 5 \times 5 \times 5 = 125$
2. $2^1 = 2$

Now, multiply the results:

$125 \cdot 2 = 250$

Thus, the value of the expression $5^3 \cdot 2^1$ is $250$.

Would you like more details, or do you have any questions?

Here are five related questions you might explore:

1. What is the value of $6^2 \cdot 3^3$?
2. How do you simplify $4^2 \cdot 5^2$?
3. What is the general rule for multiplying powers with the same base?
4. How do you calculate $(3^2 \cdot 2^3)^2$?
5. How can you simplify an expression like $a^m \cdot b^n$?

Tip: When multiplying powers with different bases, calculate each power first, then multiply the results.