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\frac{1}{\left(\frac{5}{7}\right)^{2}}
Use the rules of exponents to simplify the expression.
\left(\frac{5}{7}\right)^{2\left(-1\right)}
To raise a power to another power, multiply the exponents.
\left(\frac{5}{7}\right)^{-2}
Multiply 2 times -1.
\frac{49}{25}
Raise \frac{5}{7} to the power -2.