Übung
$\sqrt[3]{x^2}\sqrt[5]{y^3}\sqrt[7]{z^5}$
Schritt-für-Schritt-Lösung
Learn how to solve problems step by step online. x^2^(1/3)y^3^(1/5)z^5^(1/7). Simplify \sqrt[3]{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Wenden Sie die Formel an: \frac{a}{b}c=\frac{ca}{b}, wobei a=1, b=3, c=2, a/b=\frac{1}{3} und ca/b=2\cdot \left(\frac{1}{3}\right). Simplify \sqrt[5]{y^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{5}. Simplify \sqrt[3]{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}.
x^2^(1/3)y^3^(1/5)z^5^(1/7)
Endgültige Antwort auf das Problem
$\sqrt[3]{x^{2}}\sqrt[5]{y^{3}}\sqrt[7]{z^{5}}$