Question

(p/q)(q/p)^-1




please show all steps ​

Answer 1

Step-by-step explanation:

$( \frac{p}{q}){( \frac{q}{p})}^{ - 1}$

This is the given equation,

and as you know, anything that's raised to the power of negative, is the reciprocal of the same.

that means

${( \frac{q}{p})}^{ - 1} = ( \frac{p}{q})$

Therefore, if we put this in our equation, it becomes

$( \frac{p}{q})( \frac{p}{q})$

now, if you don't know, when 2 brackets are together with variable(s) inside them, they denote multiplication between them.

that is (x)(y) = xy

Thus, this equation becomes

${( \frac{p}{q}) }^{2}$

That is the correct answer.

I tried to do it as clearly as possible. hope you understand now.

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