Question

Can someone explain how to solve this

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equivalent expression is ~

$\boxed{ \boxed{ {y}^{ - \frac{3}{2} } } }$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's solve ~

• $\dfrac{1}{y \sqrt{y} }$

• $\dfrac{1}{y {}^{1} \times y {}^{ \frac{1}{2} } }$

• $\dfrac{1}{ {y}^{1 + \frac{1}{2} } }$

• $\dfrac{1}{y {}^{ \frac{3}{2} } }$

• ${y}^{ - \frac{3}{2} }$

now, it's in the form of ${y}^{k}$, where k = $-\dfrac{3}{2}$

I hope it helped ~