Exponents and double negatives are doing me in!

[BeckySue]

Can anyone help me understand how to do this problem?

24x^-4y^-9z^-8 / 18xy^-2z<sup>-3


I'm getting lost with subtracting two negative numbers and wondering how this answer (which is what is shown in the textbook) can possibly be:</sup>

4z¹¹ / 3x⁵y⁷


Why is the z¹¹ still with the 4 on the top of the division line?

I'm so confused! Please help!
Becky

 

[Deleted member 4993]

Can anyone help me understand how to do this problem?

24x^-4y^-9z^-8 / 18xy^-2z<sup>-3


I'm getting lost with subtracting two negative numbers and wondering how this answer (which is what is shown in the textbook) can possibly be:</sup>

4z¹¹ / 3x⁵y⁷


Why is the z¹¹ still with the 4 on the top of the division line?

I'm so confused! Please help!
Becky

Is that " -8" correct?

 

[BeckySue]

Correction to problem

I apologize - it should not have been a negative 8 in my problem.

 

[pka]

24x^-4y^-9z^-8 / 18xy^-2z^{-3
I'm getting lost with subtracting two negative numbers and wondering how this answer (which is what is shown in the textbook) can possibly be:}

4z¹¹ / 3x⁵y⁷

^{\(\displaystyle \dfrac{24x^{-4}y^{-9}z^{8}}{18xy^{-2}z^{-3}}=\frac{24}{18}x^{-4-(1)}y^{-9-(-2)}z^{8-(-3)}\)}