Question

(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only

Answer 1

(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only


`(8x^9y^3)^(-2) (6x^7y^7)= \\ \\ \\ (8)^(-2) (x^9) ^(-2)( y^3)^(-2) (6)(x^7)(y^7)= \\ \\ \\ (8)^(-2) (x) ^(9-2)( y)^(3-2) (6)(x^7)(y^7)= \\ \\ \\ (8)^(-2) (x) ^(9-2+7)( y)^(3-2+7) (6)= \\ \\ \\ 6*(8)^(-2) (x) ^(14)( y)^(8) = \\ \\ \\ (6)/(64) x ^(14) y^(8) = \boxed{(3)/(32)\ x ^(14) y^(8) }`