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