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-\left(5^{12}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.
-5^{24}
To raise a power to another power, multiply the exponents. Multiply 12 and 2 to get 24.
-59604644775390625
Calculate 5 to the power of 24 and get 59604644775390625.