https://file.aiquickdraw.com/mathbot/file/17254070175385pw76di6.jpg

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?

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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.

Simplify the expression: \[ \left[ \left( \frac{3^0 \times 5^2}{5^2} \right)^2 \right]^3 \]

This problem involves simplifying an expression using the rules of exponentiation. Learn step-by-step how to simplify the expression \[ \left[ \left( \frac{3^0 \times 5^2}{5^2} \right)^2 \right]^3 \] by applying the properties of exponents. Ideal for students in Grades 6-8.

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