How do you simplify (-20a^-2b^-7)/(5a^-5b^3)? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Alan P. Jun 8, 2015 (-20 a^(-2)b^(-7))/(5a^(-5)b^3) color(white)("XXXX")= ((-20)/(5)) * ((a^(-2))/(a^(-5))) * ((b^(-7))/(b^3)) color(white)("XXXX")= (-4) * (a^3) * (1/b^(10)) color(white)("XXXX")=-4 (a^3)/(b^10) 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 1837 views around the world You can reuse this answer Creative Commons License