Question

F 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

Answer: The answer is (a)
`r^n=a.`

Step-by-step explanation: The given equation is

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

We are to select from the given options which is the implication of the above equation.

We will be using the following property of logarithm here:

`\{x^b\}^c=x^(b* c).`

Therefore, we have

`a^(1)/(n)=r\\\\\Rightarrow \{a^(1)/(n)\}^n=r^n\\\\\Rightarrow a^{(1)/(n)* n}=r^n\\\\\Rightarrow a=r^n.`

Thus, (a)
`r^n=a.` is the correct option.