(2/3x^4y^7-1/9x^2y^6)÷(-1/3xy^3)^2
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(2/3x^4y^7-1/9x^2y^6)÷(-1/3xy^3)^2

=(2/3x^4y^7-1/9x^2y^6)÷(1/9x^2y^6)

=(2/3x^4y^7)÷(1/9x^2y^6)-(1/9x^2y^6)÷(1/9x^2y^6)

=(2/3)*9x^(4-2)y^(7-6)-(1/9)*9x^(2-2)y^(6-6)

=6x^2y-1*x^0y^0

=6x^2y-1*1*1

=6x^2y-1