Answer
$-\dfrac{32x^5}{y^5}$
Work Step by Step
The given expression can be written as:
$=\left(\dfrac{-2x}{y}\right)^5$
(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:
$=\dfrac{(-2x)^5}{y^5}$
Use the product-to-powers rule to find:
$\\=\dfrac{(-2)^5x^5}{y^5}
\\=\dfrac{-32x^5}{y^5}
\\=-\dfrac{32x^5}{y^5}$
