How do you simplify (45a^11b^13)/(-9a^7b^8)?

1 Answer
Apr 30, 2016

= -5 a^(4)b^(5)

Explanation:

(45 a^11b^13) / (-9 a^7b^8)

= (45 / -9) * ( a^11b^13) / ( a^7b^8)

= (cancel45 / cancel(-9)) * color(blue)(( a^11b^13) / ( a^7b^8)

= (-5) * color(blue)( ( a^11b^13) / ( a^7b^8)

  • According to property:
    color(blue)(a^m / a ^n = a ^(m-n)

= (-5) * color(blue)( a^((11 - 7)) * b^((13 - 8))

= (-5) * color(blue)( a^(4) * b^(5)

= -5 a^(4)b^(5)