How do you simplify ((9x^6 y^-3 z)/(18xy^3 z^-5))? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Don't Memorise Apr 11, 2016 =(x^(5 ) z ^ 6) / ( 2y^(6) Explanation: (9x^6y^-3z) / ( 18 x y ^3 z ^-5 =(9 * x^6 * y^-3 * z) / ( 18 * x * y ^3 * z ^-5 =(cancel9 / cancel18 ) * ( x^6 * y^-3 * z) / ( x * y ^3 * z ^-5 =(1/2 ) * ( x^6 * y^-3 * z) / ( x * y ^3 * z ^-5 Applying property: color(blue)(a^m / a ^n = a ^(m-n) =(1/2 ) * ( x^(6 - 1)) * ( y^(-3 - 3 )) * ( z ^ ( 1 - ( -5))) =(1/2 ) * x^(5 ) * y^(-6) * z ^ ( (1 + 5)) =(1/2 ) x^(5 ) y^(-6) z ^ 6 =(x^(5 ) z ^ 6) / ( 2y^(6) 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 1647 views around the world You can reuse this answer Creative Commons License