$${{\sqrt{{{\left({{\left({{log}_{10}\left({{\mathtt{10}}}^{\left({\mathtt{10}}\right)}\right)}^{\,{\mathtt{3}}}\right)}}^{{\mathtt{3}}}\right)}}^{{\mathtt{3}}}}}}^{\,{\mathtt{2}}}$$
solve this question
+118608 Mmm
the sqrt and the square cancel each other out so the problem becomes
$$\{[(log_{10}(10^{10})^3]^3\}^3\\\\
=\{[(log_{10}(10^{30})]^3\}^3\\\\
=\{[30(log_{10}(10)]^3\}^3\\\\
=\{[30(1)]^3\}^3\\\\
=[30]^9\\\\
=3^9*10^9\\\\
=19683*10^9\\\\\
=1.9683*10^{13}$$
There you go, multiple choice answers - take your pick 
+128470
log (10^(10))^3 = (10 log 10)^3 = (10)^3 = 1000
1000^3 = (10^3)^3 = 10^9
(10^9)^3 = 10^27
([(10)^27]^2)^ (1/2) =
10^27
+118608 Mmm
the sqrt and the square cancel each other out so the problem becomes
$$\{[(log_{10}(10^{10})^3]^3\}^3\\\\
=\{[(log_{10}(10^{30})]^3\}^3\\\\
=\{[30(log_{10}(10)]^3\}^3\\\\
=\{[30(1)]^3\}^3\\\\
=[30]^9\\\\
=3^9*10^9\\\\
=19683*10^9\\\\\
=1.9683*10^{13}$$
There you go, multiple choice answers - take your pick
