質問: How do you simplify #(12a^-9b^-4)/( 9a^2b^6)#? ==============================================
回答: #=(4 a^-11 b^-10)/3# #### Explanation: #(12a^-9b^-4)/(9a^2b^6)# #=(12/9) * ((a^-9b^-4)/(a^2b^6))# #=(cancel12/cancel9) * ((a^-9b^-4)/(a^2b^6))# #=(4/3) * (a^-9 / a^2 ) * ((b^-4)/(b^6))# * as per property: #color(blue)(a^m/a^n = a ^(m-n)# #=(4/3) * (a^(-9 -2) ) * (b^(-4 -6))# #=(4/3) * ( a^-11) * (b^-10)# #=4/3 a^-11 b^-10# #=(4 a^-11 b^-10)/3#