Question

What is the value of the expression ? (243^2)^1/10 A.9 B.81 C.3 D.27

Answer 1

$(243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}$