Übung
$\sqrt[3]{\left(\sqrt{a\cdot\sqrt{b\cdot\sqrt[3]{c}}}\right)}^2$
Schritt-für-Schritt-Lösung
Learn how to solve befugnisse der befugnisse problems step by step online. (a(bc^(1/3))^(1/2))^(1/2)^(1/3)^2. Simplify \left(\sqrt{c}}}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals 2. Simplify \sqrt{c}}}\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{2}{3}. Wenden Sie die Formel an: \left(ab\right)^n=a^nb^n. Wenden Sie die Formel an: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, wobei a=1, b=3, c=1, a/b=\frac{1}{3}, f=2, c/f=\frac{1}{2} und a/bc/f=\frac{1}{3}\cdot \frac{1}{2}.
(a(bc^(1/3))^(1/2))^(1/2)^(1/3)^2
Endgültige Antwort auf das Problem
$\sqrt[3]{a}\sqrt[6]{b}\sqrt[18]{c}$