To simplify the expression, we need to follow the order of operations, which states that we should handle multiplication and division from left to right.
The expression given is:
\( 48 \cdot 16 \cdot 24 \div 18 \cdot 24 \div 8 \cdot 7 \div 42 \cdot 47 \)
Let's break this down step by step:
First, we perform the multiplications and divisions from left to right:
- \( 48 \cdot 16 = 768 \)
- \( 768 \cdot 24 = 18432 \)
- \( 18432 \div 18 = 1024 \) (since \( 18432 \div 18 = 1024 \))
- \( 1024 \cdot 24 = 24576 \)
- \( 24576 \div 8 = 3072 \)
- \( 3072 \cdot 7 = 21504 \)
- \( 21504 \div 42 = 512 \)
- \( 512 \cdot 47 = 24064 \)
Thus, the final result of the entire expression is 24064.