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\left(7^{8}\right)^{-4}
Use the rules of exponents to simplify the expression.
7^{8\left(-4\right)}
To raise a power to another power, multiply the exponents.
7^{-32}
Multiply 8 times -4.
\frac{1}{1104427674243920646305299201}
Raise 7 to the power -32.