Answer:
-5 or 5 depending on how you write the simplified form
Step-by-step explanation:
[tex]\dfrac{27x^2z}{3x^2z^6}=9x^{2-2}z^{1-6}\\\\\boxed{=9z^{-5}=\dfrac{9}{z^5}}[/tex]
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
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Some folks like their simplified form to contain only positive exponents. Other folks avoid unnecessary fractions. Choose the form that satisfies your grader.
