Respuesta :

Answer:

Step-by-step explanation:

Assuming you want to find the value of n.

[tex]\sqrt{\frac{p}{q} } =(\frac{q}{p}) ^{1-2n} \\[/tex]

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.

[tex](\frac{q}{p} )^{-1/2} = (\frac{q}{p}) ^{1-2n}[/tex]

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

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