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\left(\left(-7\right)^{5}\right)^{8}
Use the rules of exponents to simplify the expression.
\left(-7\right)^{5\times 8}
To raise a power to another power, multiply the exponents.
\left(-7\right)^{40}
Multiply 5 times 8.
6366805760909027985741435139224001
Raise -7 to the power 40.