Mathematics, 16.07.2019 15:00, azelyanoel
What is the following product? ^3 square root 4 * square root 3
Answers: 1
![a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt[n]{a\cdot b}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\\sqrt[3]4\cdot\sqrt3=4^\frac{1}{3}\cdot3^\frac{1}{2}=4^\frac{1\cdot2}{3\cdot2}\cdot3^\frac{1\cdot3}{2\cdot3}=4^\frac{2}{6}\cdot3^\frac{3}{6}=\sqrt[6]{4^2}\cdot\sqrt[6]{3^3}\\\\=\sqrt[6]{16}\cdot\sqrt[6]{27}=\sqrt[6]{16\cdot27}=\sqrt[6]{432}](/tpl/images/0096/7043/7d20e.png)
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What is the following product? ^3 square root 4 * square root 3...
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