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\left(-x\right)^{2}y^{2}\left(-x\right)y^{2}
Expand \left(\left(-x\right)y\right)^{2}.
x^{2}y^{2}\left(-x\right)y^{2}
Calculate -x to the power of 2 and get x^{2}.
x^{2}y^{4}\left(-x\right)
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
x^{3}y^{4}\left(-1\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\left(-x\right)^{2}y^{2}\left(-x\right)y^{2}
Expand \left(\left(-x\right)y\right)^{2}.
x^{2}y^{2}\left(-x\right)y^{2}
Calculate -x to the power of 2 and get x^{2}.
x^{2}y^{4}\left(-x\right)
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
x^{3}y^{4}\left(-1\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.