Answer: The value of given expression is 125.
Step-by-step explanation:
Since we have given that
[tex]25^{\frac{3}{2}}[/tex]
As we know that
[tex](a^m)^n=a^{mn}[/tex]
So, we will do first :
[tex]25^3=15625[/tex]
Now,
[tex](25^3)^\frac{1}{2}=(15625)^\frac{1}{2}=\sqrt{15625}=125[/tex]
Hence, the value of given expression is 125.
