Question

If x^(1/m)= 10 and x^(1/n) = 100, then what is the value of
(1/m+1/n)​

Answer 1

Answer:

If x^1/m=10 and x^1/n =100 what is the value of (1/m+1/n). 1. See answer. Add answer+5 pts. Log in to add comment

Answer 2

Answer:

If $x^{1/m} = 10$ and $x^{1/n}$ = 100, then the value of $\frac{1}{m} + \frac{1}{n}$ is 3.

Step-by-step explanation:

We have an equation written as $x^{1/m} = 10$ and $x^{1/n}$ = 100 and from this given expression it is asked to write the value of $\frac{1}{m} + \frac{1}{n}$.

By equating the equation $x^{1/m} = 10$ on both sides we get

$\frac{1}{m}=1$   ....(i)

And by equating the equation $x^{1/n}$ = 100 or $x^{1/n} = 10^2$ we get

$\frac{1}{n} = 2$  

Now by putting these values in the equation  $\frac{1}{m} + \frac{1}{n}$ we get

$\frac{1}{m} + \frac{1}{n}$ = 1 + 2

$\frac{1}{m} + \frac{1}{n}$ = 3

Hence the value of  $\frac{1}{m} + \frac{1}{n}$ is 3.