Mathematics, 18.10.2019 11:50 emmilee94
What is the cube root of 216x^9y^16
Answers: 1
![\sqrt[3]{216 {x}^{9} {y}^{16} }](/tpl/images/0331/2240/c9010.png)
![\sqrt[3]{216x^9y^{16}} \,\,is\,\,6x^3y^{16/3}](/tpl/images/0331/2240/7ac27.png)
![\sqrt[3]{216x^9y^{16}} \\can\,\, be\,\, written\,\, as\,\,\\=\sqrt[3]{216} \sqrt[3]{x^9} \sqrt[3]{x^{16}} \\=\sqrt[3]{6x6x6} \sqrt[3]{x^9} \sqrt[3]{x^{16}} \\we\,\, know\,\,\sqrt[3]{x} = x^{1/3}\\= (6^3)^{1/3} (x^9)^{1/3}(y^{16})^{1/3}\\= 6x^3y^{16/3}](/tpl/images/0331/2240/fefe9.png)
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