![\sqrt[3]{875x^5y^9}\\ \\=(875x^5y^9)^{\frac{1}{3}}\\\\\text{Apply distributive property of multiplication}\\\\=(125.7)^{\frac{1}{3}}x^{\frac{5}{3}}y^{\frac{9}{3}}\\\\=(125)^{\frac{1}{3}}.(7)^{\frac{1}{3}}.x^{(\frac{3}{3}+\frac{2}{3})}.y^3\\\\=(5^3)^{\frac{1}{3}}.7^{\frac{1}{3}}.x^{(1+\frac{2}{3})}.y^3\\\\=5^1.7^{\frac{1}{3}}.x^1.x^{\frac{2}{3}}.y^3\\\\=5xy^3(7x^2)^{\frac{1}{3}}\\\\=5xy^3\sqrt[3]{7x^2}](/tpl/images/0375/5674/6eb2a.png)
Order the simplifications, last box is 5× x × y^3 × (7 ^ 1/3 × x ^ 2/3)
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Mathematics, 15.11.2019 06:31, fbr45508
Order the simplifications, last box is 5× x × y^3 × (7 ^ 1/3 × x ^ 2/3)
Answers: 1
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