Answer:
Explanation:
Assuming you want to find the value of n.
![\sqrt{(p)/(q) } =((q)/(p)) ^(1-2n) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/sw3xv6boc11rdm13gvqqvo7ccjzzxf4uvc.png)
Remember when bases are same exponents can be made equal
Here the bases are different
because notice on one side there is p/q and on the other q/p
what can we do to make them same?
You can invert the any side you want either make leftside as q/p or make right one as p/q
I will make left side as q/p
All you do is flip the denominator and numerator to do so. But that can only be done if you put a (-1) in the exponent
so underroot p/q means (p/q)^1/2 when i make it q/p
a negative one needs to be put in the exponent. That -1 when multiplied by 1/2 makes it -1/2
Now the bases are same such like.
![((q)/(p) )^(-1/2) = ((q)/(p)) ^(1-2n)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pv3mqes4e36xcfzf3ixrd5ujr1tj4ao8sx.png)
See now the bases are same, the powers can be made equal
so
-1/2=1-2n
here n is the variable we need to find
rearrange the equation
n=3/4