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Answer:
5
Step-by-step explanation:
We are looking for the exponent on z when this is simplified :[tex]\frac{27x^2z^6}{-3x^2z}[/tex]
In order to get this, you do not need to simplify the whole term. Looking at the numerator, we have z multiplied six times divided by one z, getting us x multiplied 5 times. Therefore the exponent on z is 5
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Explanation:
Focus on the z terms only. Ignore everything else.
Up top in the numerator we have z^6
In the denominator we have z without an exponent, but it's identical to z^1
We want to divide z^6 over z^1.
Use this rule: (a^b)/(a^c) = a^(b-c)
We subtract the exponents to say (z^6)/(z^1) = z^(6-1) = z^5