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Simplify \root(4)(128x^(9)y^(12)z^(17))

Simplify \root(4)(128x^(9)y^(12)z^(17))-example-1

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Answer:


\sqrt[4]{128 {x}^(9) {y}^(12) {z}^(17) } =


\sqrt[4]{128} \sqrt[4]{ {x}^(9) } \sqrt[4]{ {y}^(12) } \sqrt[4]{ {z}^(17) } =


\sqrt[4]{16} \sqrt[4]{8} \sqrt[4]{ {x}^(8) } \sqrt[4]{x} \sqrt[4]{ {y}^(12) } \sqrt[4]{ {z}^(16) } \sqrt[4]{z} =


2 {x}^(2) {y}^(3) {z}^(4) \sqrt[4]{8xz}

User Seun Osewa
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