RoseCrystal01
RoseCrystal01 RoseCrystal01
  • 11-07-2022
  • Mathematics
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Please help!! Simplify the following expression in terms of fractional exponents and write it in the following form.

Please help Simplify the following expression in terms of fractional exponents and write it in the following form class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 11-07-2022

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]
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