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Verified Answer :

ignoring everything but the z's (because we can) we're left with \(\frac{z}{ z^{4} }\) , which simplifies to \(z^{-3}\) , so -3

Answer:

\(-9z^{-3}\) that is exponent on the variable z is \(-3\).

Step-by-step explanation:

The given equation is:

\(\frac{27x^2z}{-3x^2z^4}\)

Simplifying the above equation by simplifying the exponents and the powers, we get

=\(\frac{-9z}{z^4}\)

=\(-9z^{-3}\)

Therefore, the exponent on the variable z is \(-3\).