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\left(9^{9}\right)^{9}
Use the rules of exponents to simplify the expression.
9^{9\times 9}
To raise a power to another power, multiply the exponents.
9^{81}
Multiply 9 times 9.
196627050475552913618075908526912116283103450944214766927315415537966391196809
Raise 9 to the power 81.