Final answer:
The final answer is: 7.125.
Step-by-step explanation:
To simplify the expression, we need to follow the order of operations.
First, we calculate the values inside the parentheses: 11 - 5^2
= 11 - 25
= -14.
Next, we calculate the absolute value of -10 - 2(3): |-10 - 2(3)|
= |-10 - 6|
= |-16|
= 16.
Finally, we can simplify the expression: sqrt(2^6) + (-14)/16
= sqrt(64) - 14/16
= 8 - 7/8
= 8 - 0.875
= 7.125.