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The image contains a mathematical expression that looks like a fraction. I will try to describe it and solve it.

The expression appears to be:

\[
\frac{\left(\frac{5}{10}\right)^3}{\left(\frac{5}{10}\right)^2}
\]

This is a fraction of powers. Let's simplify it step by step:

### Step 1: Simplifying the Powers
The base of both the numerator and the denominator is the same: \(\frac{5}{10}\). When you divide powers with the same base, you subtract the exponents:

\[
\frac{\left(\frac{5}{10}\right)^3}{\left(\frac{5}{10}\right)^2} = \left(\frac{5}{10}\right)^{3-2} = \left(\frac{5}{10}\right)^1
\]

### Step 2: Simplifying the Fraction
Since the power is now 1, the expression simplifies to:

\[
\left(\frac{5}{10}\right) = \frac{5}{10}
\]

Finally, \(\frac{5}{10}\) can be reduced by dividing both the numerator and the denominator by 5:

\[
\frac{5}{10} = \frac{1}{2}
\]

### Final Answer:
The simplified form of the expression is \(\frac{1}{2}\).

Would you like more details on any step? Here are some related questions to explore:

1. What is the rule for dividing powers with the same base?
2. How can we simplify fractions like \(\frac{5}{10}\)?
3. How would this problem change if the exponents were negative?
4. What are some other ways to simplify powers and fractions?
5. How do you deal with fractions raised to higher powers?

**Tip**: When simplifying expressions involving powers, always check if the bases are the same to apply exponent rules!

Learn how to simplify the expression (5/10)^3 / (5/10)^2 step by step. This problem involves dividing powers with the same base and simplifying fractions. Suitable for students in Grades 7-9.

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