To solve this question we will use the following properties:
[tex]\begin{gathered} A)\text{ (}a^m\text{)}^n=a^{m\times n}, \\ B)a^m\times a^n=a^{m+n}\text{.} \end{gathered}[/tex]
Applying property A) in the given expression we get:
[tex](5^2)^4\times5^3=5^{2\cdot4}\times5^3=5^8\times5^3\text{.}[/tex]
Applying property B) in the above equation we get:
[tex]5^8\times5^3=5^{8+3}=5^{11}\text{.}[/tex]
Therefore:
[tex](5^2)^4\times5^3=5^{11.}[/tex]
Answer:
[tex]5^{11}\text{.}[/tex]
