Упростите [latex]2 \frac{2}{3}[/latex]x²y⁸([latex]-1 \frac{1}{2} [/latex]xy³)⁴

[latex]2 \frac{2}{3} x^{2}y ^{3}*(-1 \frac{1}{2}xy ^{3}) ^{4}=2 \frac{2}{3} x^{2}y ^{3}*(- \frac{3}{2}xy ^{3}) ^{4}= \frac{8}{3} x^{2}y ^{3}* \frac{81}{16} x^{4}y ^{12}= \frac{27}{2} x^{2+4} [/latex][latex] y^{3+12}= \frac{27}{2} x^{6}y ^{15}=13 \frac{1}{2} x^{6}y ^{15} [/latex]