(23573-8999):21•7:(338+9)•29

To simplify the expression \( (23573 - 8999):21 \cdot 7 \cdot (338 + 9) \cdot 29 \), we will follow the proper order of operations.

1. Start with the operations inside the parentheses:

   • \( 23573 - 8999 = 14574 \)
   • \( 338 + 9 = 347 \)

2. Substitute these results back into the expression: \[ (14574):21 \cdot 7 \cdot 347 \cdot 29 \]

3. Next, perform the division: \[ 14574 \div 21 = 694 \]

4. Now substitute: \[ 694 \cdot 7 \cdot 347 \cdot 29 \]

5. Perform the multiplication step-by-step:

   • First, calculate \( 694 \cdot 7 \): \[ 694 \cdot 7 = 4868 \]

   • Now multiply with \( 347 \): \[ 4868 \cdot 347 = 1684516 \]

   • Finally, multiply with \( 29 \): \[ 1684516 \cdot 29 = 48870664 \]

So, the value of the expression \( (23573 - 8999):21 \cdot 7 \cdot (338 + 9) \cdot 29 \) is \( 48870664 \).