Evaluate: \[ \left(3 \div 9 \div 5+1^{2}\right) \times(2 \times 8)^{3} \] For full marks your answer should accurate to at least two decimal places. \[ \text { Value }=0.00 \]

Step 1 ：First, simplify the expression inside the first set of parentheses. The division operation is performed from left to right, so first divide 3 by 9 to get 0.3333, then divide this result by 5 to get 0.0666. Then, add this to 1^2, which is 1, to get 1.0666.

Step 2 ：Next, simplify the expression inside the second set of parentheses. The multiplication operation is straightforward, so multiply 2 by 8 to get 16.

Step 3 ：Finally, multiply the results from the first and second parentheses. The exponentiation operation is performed last, so raise 16 to the power of 3 to get 4096. Then, multiply this by 1.0666 to get the final result.

Step 4 ：The final answer, accurate to two decimal places, is \(\boxed{4369.07}\).