How do you simplify (15h^6k^3)/(5hk^2)15h6k35hk2 using only positive exponents? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer sankarankalyanam Mar 9, 2018 => color(green)(3h^5k)⇒3h5k Explanation: (15h^6k^3) / (5hk^2)15h6k35hk2 => = (color(purple)(5) * 3* color(purple)(h) * h^5 * k* color(purple)(k^2)) / color(purple)(5 * h * k^2)⇒=5⋅3⋅h⋅h5⋅k⋅k25⋅h⋅k2 Taking (3*h^5 * k)(3⋅h5⋅k) outside the bracket in the numerator, =>( (3h^5k) * cancel(color(red)((5hk^2)))) / cancel(color(red)((5hk^2) => color(green)(3h^5k) 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 1573 views around the world You can reuse this answer Creative Commons License