How do you simplify #3^7/3^2#? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 2 Answers Blaze · Stefan V. May 9, 2018 Answer: #3^(5)# Explanation: One subtracts the exponents since you're dividing. . So for #3^(7)/3^(2)# #7-2=5# Thus #3^(5)# Mahek ☮ May 9, 2018 Answer: #3^5# Explanation: #3^7/3^2# Using the law: #color(green)(a^m/a^n=a^(m-n)# #=>3^(7-2)# #color(magenta)(=>3^5# ~Hope this helps! :) 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 486 views around the world You can reuse this answer Creative Commons License