Question

$${ 5 }^{ \frac{ 1 }{ \log_{ 16 }({ 25 }) } } - \log ( 3 ) \log ( 2 ) \sqrt[ 9 ]{ \sqrt[ 3 ]{ 2 } } +7$$

Evaluate

$-\frac{\ln(2)\ln(3)\sqrt[27]{2}}{\ln(10)^{2}}+11\approx 10.852637224$