Answer
$\dfrac{-5y^8}{x^6}$
Work Step by Step
RECALL:
(i) $\dfrac{a^m}{a^n} = a^{m-n}. a \ne0$
(ii) $a^{-m} = \dfrac{1}{a^m}, a \ne0$
Divide the coefficients by each other and the variables by each other to obtain:
$=\dfrac{30}{-6} \cdot x^{2-8}y^{5-(-3)}
\\=-5 \cdot x^{-6}y^{5+3}
\\=-5x^{-6}y^{8}$
Use rule (ii) above to obtain:
$=-5 \cdot \dfrac{1}{x^6} \cdot y^8
\\=\dfrac{-5y^8}{x^6}$
