How do you simplify 4^n/(3^(n-1))? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer smendyka Jul 20, 2017 See a solution process below: Explanation: Multiply the expression by 1 or 3/3: 3/3 * 4^n/3^(n - 1) = (3 * 4^n)/(3 * 3^(n-1)) = (3 * 4^n)/(3^1 * 3^(n-1)) = (3 * 4^n)/(3^(1+n-1)) = (3 * 4^n)/3^n = 3*4^n/3^n = 3(4/3)^n 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 7670 views around the world You can reuse this answer Creative Commons License