Answer
$\dfrac{81x^4}{y^4}$
Work Step by Step
The given expression can be written as:
$=\left(\dfrac{-3x}{y}\right)^4$
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:
$=\dfrac{(-3x)^4}{y^4}$
Use the product-to-powers rule to find:
$\\=\dfrac{(-3)^4x^4}{y^4}
\\=\dfrac{81x^4}{y^4}$
