pijamjamjimmy pijamjamjimmy
  • 15-02-2019
  • Mathematics
contestada

if a^1/n=r then which of the following are true statements

r^n=a

a^r=n

n^1/r=a

n√=

Respuesta :

parmesanchilliwack parmesanchilliwack
  • 26-02-2019

Answer:

[tex]r^n=a[/tex]

Step-by-step explanation:

Here, the given expression is,

[tex]a^{\frac{1}{n}}=r[/tex]

[tex](a^{\frac{1}{n}})^n=r^n[/tex]         ( a = b ⇒ [tex]a^n=b^n[/tex] )

[tex]a^{\frac{1}{n}\times n} = r^n[/tex]         ( Because [tex](a^m)^n=a^{m\times n}[/tex] )

[tex]a^1=r^n[/tex]

[tex]a=r^n[/tex]

Hence, First option is true.

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