Mathematics, 19.07.2019 06:30 smhrosepetals
How to simplify this^{1 \div 4} )
Answers: 1
![\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------\\\\ -3(567)^{1\div 4}\implies -3(567)^{\frac{1}{4}}\implies -3(\sqrt[4]{567^1})\implies -3(\sqrt[4]{567}) \\\\\\ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad 3^4\cdot 7 \end{cases}\implies -3(\sqrt[4]{3^4\cdot 7})\implies -3(3\sqrt[4]{7})\implies -9\sqrt[4]{7}](/tpl/images/0106/9066/41548.png)
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How to simplify this[tex] - 3(567)^{1 \div 4} [/tex]...
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