Need help simplifying

Question

i need to simplify 8 x 2^-5 x 3^-5 over 9 x 2^-7 x 81. in index form as powers of 2 and 3. the resulting answer should be 2⁵ x 3^-11 can somebody please show me the steps required to get this answer

Answer 1

(8)(2^-5)(3^-5) / [(9)(2^-7)(81)] = 2³2^-53^-5 / (3²2^-73⁴) = 2^-23^-5 / (3⁶2^-7) = 2^-2+73^-5-6 = 2⁵3^-11