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To simplify the given expression, we need to express it in the form \( z^n \), where \( n \) is the exponent.

The given expression is:

\[
\frac{z \cdot z \cdot z \cdot z \cdot z \cdot z \cdot z}{z \cdot z}
\]

We can rewrite this as:

\[
\frac{z^7}{z^2}
\]

Using the properties of exponents, specifically \( \frac{z^a}{z^b} = z^{a-b} \), we can simplify this as:

\[
z^{7-2} = z^5
\]

Thus, the simplified expression is:

\[
z^5
\]

Would you like any further details or clarifications?

Here are 5 related questions you might find helpful:
1. How do you simplify expressions with different bases?
2. What is the rule for multiplying powers with the same base?
3. How do you simplify when the base is a fraction?
4. What are the steps to simplify expressions with negative exponents?
5. How can we simplify an expression involving multiple variables and exponents?

**Tip**: Always remember the basic exponent rules such as the product rule \( z^a \cdot z^b = z^{a+b} \) and the quotient rule \( \frac{z^a}{z^b} = z^{a-b} \). These are essential for simplifying algebraic expressions involving powers.

Simplify: Rewrite the expression in the form z^n. (z * z * z * z * z * z * z) / (z * z)

This guide explains how to simplify an expression involving exponents. We simplify (z * z * z * z * z * z * z) / (z * z) to find z^5. Suitable for students in Grades 6-8.

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