Simplify the expression with NO negative exponents.
$9z^{-6}$

• A. $\frac{9z}{6}$
• B. $9z^6$
• C. $-9z^6$
• D. $\(\frac{9}{z^6}\)$

Answer: (D)

Verified step by step guidance

1. Identify the expression given: \(9z^{-6}\). The goal is to rewrite this expression without any negative exponents.
2. Recall the rule for negative exponents: \(a^{-n} = \frac{1}{a^n}\), where \(a\) is a nonzero number and \(n\) is a positive integer.
3. Apply the negative exponent rule to \(z^{-6}\), rewriting it as \(\frac{1}{z^6}\).
4. Rewrite the entire expression by multiplying 9 by \(\frac{1}{z^6}\), which gives \(9 \times \frac{1}{z^6} = \frac{9}{z^6}\).
5. The expression \(\frac{9}{z^6}\) has no negative exponents and is the simplified form requested.