Question

PLEASE HELP WILL EARN MEDAL
When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is _____.

Answer 1

that is the equation that you have to simplify

Answer 2

We don't have to simplify it--you do. We're here to help.

Answer 3

i know

Answer 4

but i need help on how to simplify it

Answer 5

if you could help me then that would be great

Answer 6

This syntax thing is terrible. I'll have to retype everything.

Answer 7

(27 x^2 z)/(-3 x^2 z^2)=(x^2/x^2)×(27 z)/(-3 z^2)=(27 z)/(-3 z^2):
(27 z)/(-3 z^2)

The gcd of 27 and -3 is 3, so
(27 z)/(-3 z^2)((3×9) z)/((3 (-1)) z^2)3/3×(9 z)/(-z^2)(9 z)/(-z^2):
(9 z)/(-1 z^2)

Combine powers. (9 z)/(-z^2)(9 z^(1-2))/(1 (-1)):
(9 z^1-2)/(-1)

1-2-1:
(9 z^-1)/(-1)

Multiply numerator and denominator of (9)/(z (-1)) by -1:

Answer 8

Sorry, the little boxes are =. What would the answer be?

Answer 9

\(\Large \dfrac{27 x ^2 z}{ -3x ^2 z^6 } =\)

\(\Large = \dfrac{27}{-3} \times \dfrac{ x ^2}{x^2}\times \dfrac{z}{ z^6 } =\)

\(\Large = -9 \times 1 \times \dfrac{1}{z^5} \)

\(\Large =-\dfrac{9}{z^5} = -9z^{-5}\)