Simplify: 5 x 7 y 5 × 10 a 3 x 2 - 3 2 x 5 y 3 × 6 a 2 y - 2

Dear Student,

5x7y5 × (10a3x2)-3(2x5y3) × (6a2y)-2= 5x7y5 × (6a2y)2(2x5y3) × (10a3x2)3                             [As, a-m = 1am]= 5x7y5 × 36a4y22x5y3 × 1000a9x6                               [As, (am)n = amn]= 180x7y7a42000x11y3a9                                         [As, am × an = am + n]= 9x-4y4a-5100                                             [As, aman = am - n]= 9y4100x4a5                                                 [As, a-m = 1am]

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