Question

Evaluate for x = 2 and y = 3: x^2 y^-3 /x^-1 y

Answer 1

`\large\boxed{(8)/(81)}`

Explanation:

First simplify the expression using:

`(a^n)/(a^m)=a^(n-m)`

`(x^2y^(-3))/(x^(-1)y)=x^(2-(-1))y^(-3-1)=x^3y^(-4)`

Use

`a^(-n)=(1)/(a^n)`

`x^3y^(-4)=(x^3)/(y^4)`

Put the values of x = 2 and y = 3 to the expression:

`(2^3)/(3^4)=(8)/(81)`