Question #c76fc Algebra Exponents and Exponential Functions Fractional Exponents 1 Answer Tony B Mar 6, 2017 #1/2# Explanation: This is the same as #(1^(1/4))/(16^(1/4))# Written in another form we have: #root(4)(1)/root(4)(16) = 1/root(4)(16)# but #" "2xx2xx2xx2=4xx2xx2=8xx2=16# so #1/root(4)(16) =1/2# Answer link Related questions What are Fractional Exponents? How do you convert radical expressions to fractional exponents? How do you simplify fractional exponents? How do you evaluate fractional exponents? Why are fractional exponents roots? How do you simplify #(x^{\frac{1}{2}} y^{-\frac{2}{3}})(x^2 y^{\frac{1}{3}})#? How do you simplify #((3x)/(y^(1/3)))^3# without any fractions in the answer? How do you simplify #\frac{a^{-2}b^{-3}}{c^{-1}}# without any negative or fractional exponents... How do you evaluate #(16^{\frac{1}{2}})^3#? What is #5^0#? See all questions in Fractional Exponents Impact of this question 1351 views around the world You can reuse this answer Creative Commons License