Question

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

r^n=a

a^r=n

n^1/r=a

n√=

Answer 1

`r^n=a`

Explanation:

Here, the given expression is,

`a^{(1)/(n)}=r`

`(a^{(1)/(n)})^n=r^n` ( a = b ⇒
`a^n=b^n` )

`a^{(1)/(n)* n} = r^n` ( Because
`(a^m)^n=a^(m* n)` )

`a^1=r^n`

`a=r^n`

Hence, First option is true.