Answer:
Step-by-step explanation:
Factorize 125 = 5 * 5 * 5 = 5³
[tex](125x^{3}*y^{-12})^{\frac{-2}{3}} = (5^{3}x^{3}*y^{-12})^{\frac{-2}{3}}\\\\ = 5^{(3*\frac{-2}{3})}* x^{[3*\frac{-2}{3}]}*y^{-12*\frac{-2}{3}}\\\\= 5^{-2} * x^{-2} * y^{(-4*-2)}\\\\=\frac{1}{5^{2}x^{2}}*y^{8}\\\\=\frac{y^{8}}{25x^{2}}[/tex]
[tex](a*b)^{m} = a^{m}*b^{m}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]
