Final answer to the problem
$y=\frac{\sqrt{\left(12800\right)^{3}}}{\sqrt{x}}$
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Step-by-step Solution
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1
Divide both sides of the equation by $30$
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$\sqrt[3]{y^{2}}\sqrt[3]{x}=12800$
Learn how to solve equations problems step by step online. Solve the equation with radicals 30x^(1/3)y^(2/3)=384000. Divide both sides of the equation by 30. Removing the variable's exponent raising both sides of the equation to the power of \frac{3}{2}. The power of a product is equal to the product of it's factors raised to the same power. 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}.
Final answer to the problem
$y=\frac{\sqrt{\left(12800\right)^{3}}}{\sqrt{x}}$
