How do you simplify (5q^-2t^6)/(10q^2t^-4)? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Barney V. May 18, 2017 color(blue)(t^10/(2q^4) Explanation: (cancel5^color(blue)1q^-2t^6)/(cancel10^color(blue)2q^2t^-4) :.=t^(6+4)/(2q^(2+2)) color(red)({t^6/t^-4=(t^6/1)/(1/t^4)=t^6/1 xx t^4/1=t^(6+4)=t^10} color(red)({q^-2/q^2=(1/q^2)/((q^2)/1)=1/q^2 xx 1/q^2=1/q^(2+2)=1/q^4} :.=color(blue)(t^10/(2q^4) 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 1546 views around the world You can reuse this answer Creative Commons License