The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
$y=i\frac{\sqrt{nx-1}}{\sqrt{x+1}}$
2
Multiplying the fraction by $i$
$y=\frac{\sqrt{nx-1}i}{\sqrt{x+1}}$
Final Answer
$y=\frac{\sqrt{nx-1}i}{\sqrt{x+1}}$
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Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.