Question #12722 Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Ratnaker Mehta · EZ as pi Jul 27, 2017 # 1/2.# Explanation: Given that, #4^(3a)/8^b=1.# # :. {(2^2)^(3a)}/(2^3)^b=1.# #:.2^(6a)/2^(3b)=1# # :. 2^(6a-3b)=1=2^0.# # :. 6a-3b=0.# #:.6a = 3b# # :. a/b=3/6=1/2.# 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 1259 views around the world You can reuse this answer Creative Commons License