Question

who is the most intelegent lets see in 1minute​

Answer 1

Answer:

x = ⅞

Step-by-step explanation:

Given that,

$\sqrt{ \frac{p}{q} } = {( \frac{q}{p} )}^{3 - 4x}$

To find the value of x.

We know that,

• $\sqrt{m} = {m}^{ \frac{1}{2} }$
• ${( \frac{m}{n} ) }^{ - y} = {( \frac{n}{m}) }^{y}$

Therefore, we will get,

$= > {( \frac{p}{q}) }^{ \frac{1}{2} } = {( \frac{p}{q} )}^{ - (3 - 4x)} \\ \\ = > {( \frac{p}{q}) }^{ \frac{1}{2} } = {( \frac{p}{q}) }^{4x - 3}$

Now, on the both sides, bases are same.

Therefore, exponent will also be same.

Therey, we will get,

=> 1/2 = 4x - 3

=> 4x - 3 = 1/2

=> 4x = ½ + 3

=> 4x = (1+6)/2

=> 4x = 7/2

=> x = 7/8

Hence, the required value of x = ⅞.