Answer
False; only two expressions are equivalent
Work Step by Step
Simplify all the given expressions.
$(6x^6)^2=6^2\times x^{6\times2}=36x^{12}$
$(6x^3)(6x^9)=(6\times6)(x^3\times x^9)=36x^{3+9}=36x^{12}$
$36(x^3)^9=36x^{3\times9}=36x^{27}$
$6^2(x^2)^6=36x^{2\times6}=36x^{12}$
All the expressions but one are equivalent. Since $(36(x^3)^9)$ is different, the statement is false.