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\left(-1\right)^{3}\left(a^{2}\right)^{3}-a^{6}
Expand \left(-a^{2}\right)^{3}.
\left(-1\right)^{3}a^{6}-a^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-a^{6}-a^{6}
Calculate -1 to the power of 3 and get -1.
-2a^{6}
Combine -a^{6} and -a^{6} to get -2a^{6}.
\left(-1\right)^{3}\left(a^{2}\right)^{3}-a^{6}
Expand \left(-a^{2}\right)^{3}.
\left(-1\right)^{3}a^{6}-a^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-a^{6}-a^{6}
Calculate -1 to the power of 3 and get -1.
-2a^{6}
Combine -a^{6} and -a^{6} to get -2a^{6}.