(8094-22848:56)*37-42*309
To solve the expression \((8094-22848:56)*37-42*309\), we first need to perform the operations step-by-step, paying attention to the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Start with the division \(22848:56\): \[ 22848 \div 56 = 407 \]
Substitute this value into the expression: \[ (8094 - 407) * 37 - 42 * 309 \]
Now, calculate \(8094 - 407\): \[ 8094 - 407 = 7687 \]
Substitute back into the expression: \[ 7687 * 37 - 42 * 309 \]
Next, calculate \(7687 * 37\): \[ 7687 * 37 = 284399 \]
Now, calculate \(42 * 309\): \[ 42 * 309 = 12978 \]
Substitute back into the expression: \[ 284399 - 12978 \]
Now perform the final subtraction: \[ 284399 - 12978 = 271421 \]
Therefore, the result of the expression \((8094 - 22848:56) * 37 - 42 * 309\) is \(\boxed{271421}\).
