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\left(107^{-7}\right)^{2}
Use the rules of exponents to simplify the expression.
107^{-7\times 2}
To raise a power to another power, multiply the exponents.
107^{-14}
Multiply -7 times 2.
\frac{1}{25785341502012466393542552649}
Raise 107 to the power -14.