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Don't want any answers, just how to solve, step by step. please :)

Don't want any answers, just how to solve, step by step. please :)-example-1

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\bf \sqrt[3]{875x^5y^9}\quad \begin{cases} 875=5\cdot 5\cdot 5\cdot 7\\ \qquad 5^3\cdot 7 \end{cases}\implies \sqrt[3]{5^35x^(3+2)y^(3\cdot 3)} \\\\\\ \sqrt[3]{5^35x^3x^2(y^3)^3}\implies 5x(y)^3\sqrt[3]{5x^2}\implies 5xy^3\sqrt[3]{5x^2}
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