Question

20 points

(07.04)
272226
When 27x^2z^6/-3x^2z is completely simplified, the exponent on the variable z is?

Answer 1

Answer: 5

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Step-by-step 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

Answer 2

5

Step-by-step explanation:

We are looking for the exponent on z when this is simplified :
`(27x^2z^6)/(-3x^2z)`

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