How do you simplify (45a^11b^13)/(-9a^7b^8)? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Don't Memorise 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) Answer link Related questions What is the quotient of powers property? How do you simplify expressions using the quotient rule? What is the power of a quotient property? How do you evaluate the expression (2^2/3^3)^3? How do you simplify the expression \frac{a^5b^4}{a^3b^2}? How do you simplify ((a^3b^4)/(a^2b))^3 using the exponential properties? How do you simplify \frac{(3ab)^2(4a^3b^4)^3}{(6a^2b)^4}? Which exponential property do you use first to simplify \frac{(2a^2bc^2)(6abc^3)}{4ab^2c}? How do you simplify (x^5y^8)/(x^4y^2)? How do you simplify [(2^3 *-3^2) / (2^4 * 3^-2)]^2? See all questions in Exponential Properties Involving Quotients Impact of this question 1566 views around the world You can reuse this answer Creative Commons License