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The given expression is:

\[
\frac{5^{12}}{5^2 \times 5}
\]

Let's simplify this step by step.

### Step 1: Combine the powers in the denominator.
Since \( 5^2 \times 5 \) is equivalent to \( 5^2 \times 5^1 \), you can add the exponents in the denominator:
\[
5^2 \times 5 = 5^{2+1} = 5^3
\]

### Step 2: Simplify the fraction.
Now the expression becomes:
\[
\frac{5^{12}}{5^3}
\]

Using the rule of exponents \( \frac{a^m}{a^n} = a^{m-n} \), we subtract the exponents:
\[
5^{12 - 3} = 5^9
\]

Thus, the simplified expression is:

\[
5^9
\]

This is the final answer.

Do you want further details or have any questions?

Here are some related questions for practice:
1. How would you simplify \( \frac{2^8}{2^3 \times 2} \)?
2. What is \( \frac{7^{10}}{7^2 \times 7^3} \)?
3. How do you express \( \frac{x^{15}}{x^5} \) in simplified form?
4. Simplify \( \frac{a^{7}}{a^3 \times a^2} \).
5. What is the value of \( \frac{10^{9}}{10^3} \)?

**Tip**: When simplifying exponents, remember that dividing powers with the same base means subtracting their exponents.

Simplify the expression 5^12 / (5^2 * 5).

Learn how to simplify the expression 5^12 / (5^2 * 5) using the laws of exponents. This solution covers key concepts of simplifying exponents and applying the division of powers rule. Ideal for students in Grades 8-10.

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