How do you (16x^2)/(4x^5)? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Meave60 Jul 20, 2015 (16x^2)/(4x^5)=4/x^3 Explanation: (16x^2)/(4x^5) Simplify 16/4 to 4. (4x^2)/(x^5) Apply the exponent rule a^m/a^n=a^(m-n). (4x^2)/x^5=4x^(2-5)=4x^(-3) Apply the exponent rule a^(-m)=1/(a^m) 4x^(-3)=4/x^3 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 1902 views around the world You can reuse this answer Creative Commons License