Respuesta :
Answer: [tex]x = 10[/tex]
Step-by-step explanation:
Given expression,
[tex]\sqrt[3]{x^3} - 8 = 2[/tex]
⇒ [tex](x^3)^{\frac{1}{3}} - 8 = 2[/tex] ( Because, [tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex] )
⇒[tex]x^{3\times \frac{1}{3}} - 8 = 2[/tex] ( Because, [tex]((x)^m)^n = x^{mn}[/tex] )
⇒ [tex]x - 8 = 2[/tex]
⇒ [tex]x = 10[/tex] ( Adding 8 on both sides)