Let's break down each term of the given base-10 expression step-by-step.
1. Calculate the first term:
[tex]\[
0 \times 10^4 = 0
\][/tex]
2. Calculate the second term:
[tex]\[
4 \times 10^3 = 4000
\][/tex]
3. Calculate the third term:
[tex]\[
0 \times 10^2 = 0
\][/tex]
4. Calculate the fourth term:
[tex]\[
5 \times 10^1 = 50
\][/tex]
5. Calculate the fifth term:
[tex]\[
2 \times 10^0 = 2
\][/tex]
Now, sum up all these terms:
[tex]\[
0 + 4000 + 0 + 50 + 2 = 4052
\][/tex]
Therefore, the number represented by the base-10 expression is:
[tex]\[
\boxed{4052}
\][/tex]
