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\left(\left(-5\right)^{2}\right)^{3}
Use the rules of exponents to simplify the expression.
\left(-5\right)^{2\times 3}
To raise a power to another power, multiply the exponents.
\left(-5\right)^{6}
Multiply 2 times 3.
15625
Raise -5 to the power 6.