wrenchdgotbenchd wrenchdgotbenchd
  • 11-02-2020
  • Mathematics
contestada

What is the simplified form of the fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x ?

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ikarus ikarus
  • 11-02-2020

Answer:

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

Step-by-step explanation:

The fifth root of x = [tex]\sqrt[5]{x}[/tex]

We have to multiply [tex]\sqrt[5]{x}[/tex] itself by 4 times.

Therefore,

[tex]\sqrt[5]{x} .\sqrt[5]{x} .\sqrt[5]{x} .\sqrt[5]{x}[/tex]

= [tex]\sqrt[5]{x^{4} }[/tex]

When we multiply [tex]\sqrt[5]{x} .\sqrt[5]{x} .\sqrt[5]{x} .\sqrt[5]{x}[/tex] = [tex]\sqrt[5]{x^{4} }[/tex]

It can be read as " fifth root of x to the power 4".

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