Final answer:
The final simplified result of the expression is 5.91, achieved by combining numerical operations with careful attention to significant figures and following the correct order of operations.
Step-by-step explanation:
When simplifying the given expression, we must first perform operations inside the parentheses, then divide, and lastly apply exponents and subtract. Starting with the expression inside the parentheses, we combine -1.6 and 9.34. These add up to 7.74. Dividing this by 6 gives us 1.29. Next, we take 3 squared, which is 9, and multiply it by 1.29, resulting in 11.61. Finally, we subtract 5.7 from 11.61, which gives us the final answer of 5.91.
It is important to pay attention to the rules of significant figures when performing the calculations. The final answer must be rounded to the least precise measurement, in this case, the tenths place since we are subtracting 5.7 (which is to the tenths place) to maintain precision.