Simplify (x^2y^-1)^2

Problem

(x2*y(−1))2

Solution

1. Apply the power of a power rule, which states that (am)n=a(m⋅n)

2. Distribute the exponent to each factor inside the parentheses by multiplying the exponents.

x(2⋅2)*y(−1⋅2)

3. Simplify the exponents by performing the multiplication.

x4*y(−2)

4. Apply the negative exponent rule, which states that a(−n)=1/(an) to rewrite the expression with positive exponents.

(x4)/(y2)

Final Answer

(x2*y(−1))2=(x4)/(y2)

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