Mathematics

Mathematics

Problem

Answer the following questions related to roots and fractional exponents. a. (i) Define the nnth root of a positive real number. b. (ii) Rewrite 814\sqrt[4]{81} in exponential form and verify that both forms give the same numerical value. c. (iii) If x3/2=27x^{3/2}=27, express the equation in radical form and determine the value of xx, showing each step clearly.

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