Respuesta :

Answer:

[tex]\huge{\boxed{ \huge{\sf 10^{\frac{4}{5} } x^\frac{1}{5} }}}[/tex]

Explanation:

Exponent rules:

  • [tex]\sqrt[\sf n]{\sf x^b} = \sf x^{\sf \frac{b}{n} }[/tex]

Given expression:

  • [tex]\sqrt[\sf 5]{\sf 10^4 x}[/tex]

breakdown

  • [tex]\sqrt[\sf 5]{\sf 10^4} \sqrt[\sf 5]{\sf x}[/tex]

rewrite expression

  • [tex]\sf 10^{\frac{4}{5} } x^\frac{1}{5}[/tex]