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