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\left(-\left(-2\right)^{2}a^{2}\right)^{3}
Expand \left(-2a\right)^{2}.
\left(-4a^{2}\right)^{3}
Calculate -2 to the power of 2 and get 4.
\left(-4\right)^{3}\left(a^{2}\right)^{3}
Expand \left(-4a^{2}\right)^{3}.
\left(-4\right)^{3}a^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-64a^{6}
Calculate -4 to the power of 3 and get -64.
\left(-\left(-2\right)^{2}a^{2}\right)^{3}
Expand \left(-2a\right)^{2}.
\left(-4a^{2}\right)^{3}
Calculate -2 to the power of 2 and get 4.
\left(-4\right)^{3}\left(a^{2}\right)^{3}
Expand \left(-4a^{2}\right)^{3}.
\left(-4\right)^{3}a^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-64a^{6}
Calculate -4 to the power of 3 and get -64.