noahdobbs2002ovx7li noahdobbs2002ovx7li
  • 29-04-2020
  • Mathematics
contestada

100 points! If a1/n = n√a What is an equivalent form of 7√a ?

Respuesta :

erinna erinna
  • 04-05-2020

Answer:

[tex]a^{\frac{1}{7}}[/tex].

Step-by-step explanation:

The given property is

[tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]       ...(i)

The given expression is

[tex]\sqrt[7]{a}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]n=7[/tex]

Using (i), the given expression can be written as

[tex]\sqrt[7]{a}=a^{\frac{1}{7}}[/tex]

Therefore, the required expression is [tex]a^{\frac{1}{7}}[/tex].

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