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To simplify the expression \(\frac{z^0}{z^7}\) and express the answer using positive exponents, follow these steps:

1. **Evaluate \(z^0\)**:
   - By definition, any non-zero number raised to the power of 0 is 1.
   - Therefore, \(z^0 = 1\).

2. **Simplify the fraction**:
   - Substitute \(z^0\) with 1 in the fraction: \(\frac{1}{z^7}\).

3. **Express using positive exponents**:
   - The simplified expression \(\frac{1}{z^7}\) is already using positive exponents.

Thus, the simplified expression is:

\[ \frac{1}{z^7} \]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you simplify \(\frac{z^3}{z^7}\)?
2. What is the value of \(z^{-2}\) in terms of positive exponents?
3. How do you simplify the expression \(\frac{z^5}{z^5}\)?
4. If \(a = 2\) and \(b = 3\), what is the value of \(a^0 \cdot b^0\)?
5. How would you simplify the expression \(\frac{z^{-3}}{z^4}\)?

**Tip:** Remember that any non-zero number raised to the power of 0 is always equal to 1.

Simplify \( \frac{z^0}{z^7} \). Express your answer using positive exponents.

Simplify the exponent expression \( \frac{z^0}{z^7} \) and express the answer using positive exponents. Learn key concepts from Algebra, including exponent rules like the zero exponent rule and division rule for exponents. Suitable for students in Grade 8-9.

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