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

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3 votes

Answer:


\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)

User Clinton Lam
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