Question

Упростите выражение:
$(125 x^{-6} ) ^{ -frac{2}{3}}$

Answer 1

$sqrt[3]{125} ^{-2} * x^{4} = frac{x^{4}}{25}$

Answer 2

$(125x^{-6})^{-frac{2}{3}}=125^{-frac{2}{3}}*(x^6)^{-frac{2}{3}}=\\(5^3)^{-frac{2}{3}}*x^{-6*(-frac{2}{3})}=\\5^{3*(-frac{2}{3})}*x^{4}=5^{-2}x^{4}=\\frac{x^4}{5^2}=frac{x^4}{25}$