Übung
$\sqrt[3]{\sqrt[4]{x^{-6}}}-\sqrt[3]{x^{-2}y}.\sqrt[3]{xy^{-1}}-\sqrt[10]{x^{-8}\sqrt[5]{x^{15}}}$
Schritt-für-Schritt-Lösung
Learn how to solve differentialgleichungen problems step by step online. x^(-6)^(1/4)^(1/3)-(x^(-2)y)^(1/3)(xy^(-1))^(1/3)-(x^(-8)x^15^(1/5))^(1/10). Simplify \sqrt{x^{-6}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals \frac{1}{3}. Simplify \left(x^{-6}\right)^{\frac{1}{4}\cdot \frac{1}{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -6 and n equals \frac{1}{4}\cdot \frac{1}{3}. Simplify \sqrt[5]{x^{15}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 15 and n equals \frac{1}{5}. Wenden Sie die Formel an: x^mx^n=x^{\left(m+n\right)}, wobei m=-8 und n=3.
x^(-6)^(1/4)^(1/3)-(x^(-2)y)^(1/3)(xy^(-1))^(1/3)-(x^(-8)x^15^(1/5))^(1/10)
Endgültige Antwort auf das Problem
$\frac{-1}{\sqrt[3]{x}}$