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Please help! I'll give brainliest for the correct answers!

Directions:Turn the following expressions in radical form into exponential expressions in fractional form. You do not need to evaluate any of the expressions, just put them in simplest form.

Please help Ill give brainliest for the correct answers DirectionsTurn the following expressions in radical form into exponential expressions in fractional form class=

Respuesta :

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Simplify~\sqrt[3x]{5}:[/tex]

  • [tex]\bold{Use~\sqrt[n]{a^x}=a\frac{x}{n}~to~rewrite~\sqrt[3x]{5}~in~exponential~fraction~form.}[/tex]
  • [tex]\bold{\sqrt[3x]{5}=5\frac{1}{3x}}[/tex]

[tex]2.)~Simplify~\sqrt[4x+2]{9}:[/tex]

  • [tex]\bold{Use~\sqrt[n]{a^x}=a\frac{x}{n}~to~rewrite~\sqrt[4x+2]{9}~in~exponential~fraction~form.}[/tex]
  • [tex]\bold{\sqrt[4x+2]{9}=9\frac{1}{2(2x+1)}}[/tex]

[tex]3.)~Simplify~\sqrt{144^{180}}:[/tex]

  • [tex]\bold{Use~\sqrt[n]{a^x}=a\frac{x}{n}~to~rewrite~\sqrt{144^{180} }~in~exponential~fraction~form.}[/tex]
  • [tex]\bold{\sqrt{144^{180}}=\sqrt{144^9^0} }[/tex]

[tex]4.)~Simplify~ \sqrt[w]{x^{y+z}}:[/tex]

  • [tex]\bold{Use~\sqrt[n]{a^x}=a\frac{x}{n}~to~rewrite~\sqrt[w]{x^y^+^z}~in~exponential~fraction~form.}[/tex]
  • [tex]\bold{\sqrt[w]{x^y^+^z}=x\frac{y+z}{w} }[/tex]

[tex]5.)~Simplify~\sqrt{35^4}:[/tex]

  • [tex]\bold{Use~\sqrt[n]{a^x}=a\frac{x}{n}~to~rewrite~\sqrt{35^4} ~in~exponential~fraction~form.}[/tex]
  • [tex]\bold{\sqrt{35^4}=\sqrt{35^2}}[/tex]

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 [tex]\bold{Answers:}[/tex]

  • [tex]\bold{6~is~5\frac{1}{3x}.}[/tex]
  • [tex]\bold{7~is~9\frac{1}{2(2x+1)}.}[/tex]
  • [tex]\bold{8~is~\sqrt{144^1^8^0}.}[/tex]
  • [tex]\bold{9~is~x\frac{y+z}{w}.}[/tex]
  • [tex]\bold{10~is~\sqrt{35^2}.}[/tex]

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 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]

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