How do you express the following using fractional exponents: #sqrt(x^4)#? Algebra Exponents and Exponential Functions Fractional Exponents 1 Answer Shura May 23, 2015 We know that : #root(a)(x^b) = x^(b/a)#. Therefore, #sqrt(x^4) = root(2)(x^4) = x^(4/2) = x^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 1573 views around the world You can reuse this answer Creative Commons License