# Question #8a1f1

Dec 14, 2017

Your coefficient is right, but you treated $x$ and $y$ as the same variable.

#### Explanation:

$\frac{6 {x}^{-} 8}{7 {y}^{-} 7}$

is the same thing as

$\left(\frac{6}{7}\right) \left({y}^{7} / {x}^{8}\right)$

Then we can proceed with the exponent:

${\left[\left(\frac{6 {y}^{7}}{7 {x}^{8}}\right)\right]}^{- 2}$

$= {\left[\frac{7 {x}^{8}}{6 {y}^{7}}\right]}^{2}$

$= \frac{49 {x}^{16}}{36 {y}^{14}}$

Now, we're done!