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\left(-8a^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(-8\right)^{2}\left(a^{3}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
64\left(a^{3}\right)^{2}
Raise -8 to the power 2.
64a^{3\times 2}
To raise a power to another power, multiply the exponents.
64a^{6}
Multiply 3 times 2.
\left(-8a^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(-8\right)^{2}\left(a^{3}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
64\left(a^{3}\right)^{2}
Raise -8 to the power 2.
64a^{3\times 2}
To raise a power to another power, multiply the exponents.
64a^{6}
Multiply 3 times 2.