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\left(\left(-10\right)^{4}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(-10\right)^{4\times 2}
To raise a power to another power, multiply the exponents.
\left(-10\right)^{8}
Multiply 4 times 2.
100000000
Raise -10 to the power 8.