[tex]f(x)=2( \sqrt[3]{27})^{2x} [/tex]
Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.
So,
[tex]Base= \sqrt[3]{27} \\ \\
Base= \sqrt[3]{3^{3} } \\ \\
Base=3 [/tex]
Thus, the simplified base for the function is 3. So correct answer is option B
