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\frac{\left(-2\right)^{3}\left(x^{2}\right)^{3}y^{3}}{2}x^{3}y^{2}
Expand \left(-2x^{2}y\right)^{3}.
\frac{\left(-2\right)^{3}x^{6}y^{3}}{2}x^{3}y^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\frac{-8x^{6}y^{3}}{2}x^{3}y^{2}
Calculate -2 to the power of 3 and get -8.
-4x^{6}y^{3}x^{3}y^{2}
Divide -8x^{6}y^{3} by 2 to get -4x^{6}y^{3}.
-4x^{9}y^{3}y^{2}
To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.
-4x^{9}y^{5}
To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.
\frac{\left(-2\right)^{3}\left(x^{2}\right)^{3}y^{3}}{2}x^{3}y^{2}
Expand \left(-2x^{2}y\right)^{3}.
\frac{\left(-2\right)^{3}x^{6}y^{3}}{2}x^{3}y^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\frac{-8x^{6}y^{3}}{2}x^{3}y^{2}
Calculate -2 to the power of 3 and get -8.
-4x^{6}y^{3}x^{3}y^{2}
Divide -8x^{6}y^{3} by 2 to get -4x^{6}y^{3}.
-4x^{9}y^{3}y^{2}
To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.
-4x^{9}y^{5}
To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.