Answer: B) 5x^4
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Work Shown:
125 = 5*5*5 = (5)^3
x^12 = (x^4)*(x^4)*(x^4) = (x^4)^3
125x^12 = (5x^4)^3
[tex]\large \sqrt[3]{125x^{12}} = \left(125x^{12}\right)^{1/3}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = \left((5x^4)^3\right)^{1/3}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = (5x^4)^{3*(1/3)}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = (5x^4)^{1}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = \textbf{5x}^{\textbf{4}}[/tex]
