michaeldimarco7 michaeldimarco7
  • 13-06-2017
  • Mathematics
contestada

Which expression is equivalent to 80 1/4x

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TheEnglishKnight
TheEnglishKnight TheEnglishKnight
  • 15-05-2018
B) 4 square root 80^x
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lisboa lisboa
  • 08-05-2019

Answer:

[tex]\sqrt[4]{80^x}[/tex]

Step-by-step explanation:

Given expression is [tex]80^{\frac{1}{4}x}[/tex]

WE are given with fractional exponent

To remove fractional exponent we use radical

Rule is [tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

[tex]80^{\frac{1}{4}x}=80^{\frac{x}{4}}[/tex]

now we convert the exponent into radical form

[tex]80^\frac{x}{4} = \sqrt[4]{80^x}[/tex]

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