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\left(5^{2}\right)^{5^{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and 1 to get 2.
25^{5^{2}}
Calculate 5 to the power of 2 and get 25.
25^{25}
Calculate 5 to the power of 2 and get 25.
88817841970012523233890533447265625
Calculate 25 to the power of 25 and get 88817841970012523233890533447265625.