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Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=30$, $b=384000$ and $x=\sqrt[3]{y^{2}}\sqrt[3]{x}$
Learn how to solve equations avec racines cubiques problems step by step online.
$\sqrt[3]{y^{2}}\sqrt[3]{x}=12800$
Learn how to solve equations avec racines cubiques problems step by step online. Solve the equation with radicals 30x^(1/3)y^(2/3)=384000. Apply the formula: ax=b\to \frac{ax}{a}=\frac{b}{a}, where a=30, b=384000 and x=\sqrt[3]{y^{2}}\sqrt[3]{x}. Apply the formula: cx^a=b\to \left(cx^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, where a=\frac{2}{3}, x^ac=b=\sqrt[3]{y^{2}}\sqrt[3]{x}=12800, b=12800, c=\sqrt[3]{x}, x=y, x^a=\sqrt[3]{y^{2}} and x^ac=\sqrt[3]{y^{2}}\sqrt[3]{x}. Apply the formula: \left(ab\right)^n=a^nb^n. Simplify \sqrt{\left(\sqrt[3]{x}\right)^{3}} 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 \frac{3}{2}.
