1956 AHSME Problems/Problem 9

Solution

Notice that the first part and the second part of the expression are the same things, just in a different order, ie 3 and the 6 are switched around. Therefore, the question is reduced to

\[2 \cdot [\root{3}{\root{6}{a^{9}}}]\] (Error compiling LaTeX. Unknown error_msg)

Therefore, the answer is