Answer
$\dfrac{x^{30}}{y^{18}}$
Work Step by Step
RECALL:
(i) The quotients-to-powers rule states that: $(\frac{a}{b})^n=\frac{a^n}{b^n}$
(ii) The products-to-powers rule states that: $(xy)^n = x^ny^n$
Use the quotients-to-powers rule to find:
$=\dfrac{(x^5)^6}{(y^3)^6}$
Use the product-to-powers rule to find:
$\\=\dfrac{x^{5(6)}}{y^{3(6)}}
\\=\dfrac{x^{30}}{y^{18}}$
