The expression in the image is:

$\left[ \left( \frac{3^0 \times 5^2}{5^2} \right)^2 \right]^3$

Let's break it down step by step:

1. Simplify the expression inside the parentheses:

   $\frac{3^0 \times 5^2}{5^2}$

   • $3^0 = 1$, since any number raised to the power of 0 is 1.
   • $5^2 = 25$

   So, the expression becomes:

   $\frac{1 \times 25}{25} = \frac{25}{25} = 1$

2. Simplify the expression with the powers:

   Now we have:

   $\left(1^2\right)^3$

   • $1^2 = 1$
   • $1^3 = 1$

   So, the entire expression simplifies to 1.

Final Answer: $1$

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the result of $\left(\frac{4^3 \times 2^2}{2^2}\right)^2$?
2. Simplify $\left(\frac{7^0 \times 8^2}{8^2}\right)^3$.
3. Evaluate $\left[\left(\frac{6^2 \times 2^0}{6^2}\right)^2\right]^4$.
4. What is the value of $\left(\frac{9^1 \times 3^2}{3^2}\right)^3$?
5. Solve $\left(\frac{2^5 \times 3^0}{2^5}\right)^2$.

Tip: Always remember that any non-zero number raised to the power of 0 is 1.