To solve the expression \( 8000:(25 \cdot 4) \cdot 7 \), we first need to evaluate the multiplication inside the parentheses.
Calculate \( 25 \cdot 4 \): \[ 25 \cdot 4 = 100 \]
Now, replace \( 25 \cdot 4 \) with \( 100 \) in the original expression: \[ 8000 : 100 \cdot 7 \]
Now we perform the division \( 8000 : 100 \): \[ 8000 \div 100 = 80 \]
Finally, multiply \( 80 \) by \( 7 \): \[ 80 \cdot 7 = 560 \]
Thus, the result of the expression \( 8000 : (25 \cdot 4) \cdot 7 \) is \( 560 \).