Answer:
[tex]\large\boxed{\dfrac{8}{81}}[/tex]
Step-by-step explanation:
First simplify the expression using:
[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]
[tex]\dfrac{x^2y^{-3}}{x^{-1}y}=x^{2-(-1)}y^{-3-1}=x^3y^{-4}[/tex]
Use
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]x^3y^{-4}=\dfrac{x^3}{y^4}[/tex]
Put the values of x = 2 and y = 3 to the expression:
[tex]\dfrac{2^3}{3^4}=\dfrac{8}{81}[/tex]
