How do you simplify #(100/9)^(3/2)#? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 2 Answers HF Apr 29, 2016 #1000/27# Explanation: Power of #2/3# is first to take the square root of #100/9# which is #10/3#, then cube that answer, which is #1000/27#. Answer link P dilip_k Apr 29, 2016 #1000/27# Explanation: #(100/9)^(3/2)=((10/3)^2)^(3/2)=(10/3)^(2xx(3/2))=(10/3)^3=1000/27# Answer link Related questions How do you simplify radical expressions? How do you simplify radical expressions with fractions? How do you simplify radical expressions with variables? What are radical expressions? How do you simplify #root{3}{-125}#? How do you write # ""^4sqrt(zw)# as a rational exponent? How do you simplify # ""^5sqrt(96)# How do you write # ""^9sqrt(y^3)# as a rational exponent? How do you simplify #sqrt(75a^12b^3c^5)#? How do you simplify #sqrt(50)-sqrt(2)#? See all questions in Simplification of Radical Expressions Impact of this question 3965 views around the world You can reuse this answer Creative Commons License