How do you simplify (12a^-9b^-4)/( 9a^2b^6)?

1 Answer
Mar 16, 2016

=(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