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\left(\left(-9\right)^{3}\right)^{3}
Use the rules of exponents to simplify the expression.
\left(-9\right)^{3\times 3}
To raise a power to another power, multiply the exponents.
\left(-9\right)^{9}
Multiply 3 times 3.
-387420489
Raise -9 to the power 9.