Mathematics, 05.07.2019 00:00 einsigcn3691
Which expression is equivalent to ^3 square root 343 x^9 v^12 z^6?
Answers: 1
![\sqrt[3]{343x^9v^{12}z^6}=\sqrt[3]{343}\cdot\sqrt[3]{x^{3\cdot3}}\cdot\sqrt[3]{v^{4\cdot3}}\cdot\sqrt[3]{z^{2\cdot3}}\\\\=\sqrt[3]{7^3}\cdot\sqrt[3]{(x^3)^3}\cdot\sqrt[3]{(v^4)^3}\cdot\sqrt[3]{(z^2)^3}=7x^3v^4z^2\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\(a^n)^m=a^{nm}\\\\\sqrt[n]{a^n}=a](/tpl/images/0052/0322/27b0f.png)
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Which expression is equivalent to ^3 square root 343 x^9 v^12 z^6?...
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