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37x^{6}y^{12}
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37x^{6}y^{12}
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\left(-2\right)^{6}x^{6}\left(y^{2}\right)^{6}+\left(-3x^{2}y^{4}\right)^{3}
Expand \left(-2xy^{2}\right)^{6}.
\left(-2\right)^{6}x^{6}y^{12}+\left(-3x^{2}y^{4}\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.
64x^{6}y^{12}+\left(-3x^{2}y^{4}\right)^{3}
Calculate -2 to the power of 6 and get 64.
64x^{6}y^{12}+\left(-3\right)^{3}\left(x^{2}\right)^{3}\left(y^{4}\right)^{3}
Expand \left(-3x^{2}y^{4}\right)^{3}.
64x^{6}y^{12}+\left(-3\right)^{3}x^{6}\left(y^{4}\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
64x^{6}y^{12}+\left(-3\right)^{3}x^{6}y^{12}
To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.
64x^{6}y^{12}-27x^{6}y^{12}
Calculate -3 to the power of 3 and get -27.
37x^{6}y^{12}
Combine 64x^{6}y^{12} and -27x^{6}y^{12} to get 37x^{6}y^{12}.
\left(-2\right)^{6}x^{6}\left(y^{2}\right)^{6}+\left(-3x^{2}y^{4}\right)^{3}
Expand \left(-2xy^{2}\right)^{6}.
\left(-2\right)^{6}x^{6}y^{12}+\left(-3x^{2}y^{4}\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.
64x^{6}y^{12}+\left(-3x^{2}y^{4}\right)^{3}
Calculate -2 to the power of 6 and get 64.
64x^{6}y^{12}+\left(-3\right)^{3}\left(x^{2}\right)^{3}\left(y^{4}\right)^{3}
Expand \left(-3x^{2}y^{4}\right)^{3}.
64x^{6}y^{12}+\left(-3\right)^{3}x^{6}\left(y^{4}\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
64x^{6}y^{12}+\left(-3\right)^{3}x^{6}y^{12}
To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.
64x^{6}y^{12}-27x^{6}y^{12}
Calculate -3 to the power of 3 and get -27.
37x^{6}y^{12}
Combine 64x^{6}y^{12} and -27x^{6}y^{12} to get 37x^{6}y^{12}.
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