How do you simplify ((3mp^3)/(7q^2))^2? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Tamir E. Nov 15, 2017 ((3mp^3)/(7q^2))^2=((9m^2p^6)/(14q^4)) Explanation: ((3mp^3)/(7q^2))^2=((3mp^3)/(7q^2))*((3mp^3)/(7q^2))= => ((3^2m^2(p^3)^2)/((7)^2(q^2)^2)) => (((3*3)(m*m)(p^3*p^3))/((7*7)(q^2*q^2))) Power's laws: (x^a)^b=x^(a*b) (x^a)(x^b)=x^(a+b) => (((9)(m^2)(p^(3+3)))/((14)(q^(2+2)))) => (((9)(m^2)(p^(6)))/((14)(q^(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 1646 views around the world You can reuse this answer Creative Commons License