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\left(-\frac{7}{2}x^{1}\times \frac{1}{y}\right)^{-2}
Use the rules of exponents to simplify the expression.
\left(-\frac{7}{2}\right)^{-2}\left(x^{1}\right)^{-2}\times \left(\frac{1}{y}\right)^{-2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{4}{49}\left(x^{1}\right)^{-2}\times \left(\frac{1}{y}\right)^{-2}
Raise -\frac{7}{2} to the power -2.
\frac{4}{49}x^{-2}y^{-\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{4}{49}\times \frac{1}{x^{2}}y^{2}
Multiply -1 times -2.
\left(-\frac{7}{2}x^{1}\times \frac{1}{y}\right)^{-2}
Use the rules of exponents to simplify the expression.
\left(-\frac{7}{2}\right)^{-2}\left(x^{1}\right)^{-2}\times \left(\frac{1}{y}\right)^{-2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{4}{49}\left(x^{1}\right)^{-2}\times \left(\frac{1}{y}\right)^{-2}
Raise -\frac{7}{2} to the power -2.
\frac{4}{49}x^{-2}y^{-\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{4}{49}\times \frac{1}{x^{2}}y^{2}
Multiply -1 times -2.