Final answer:
The answer to the expression 4*(2-6*(7-10)) is -72.
Step-by-step explanation:
To simplify the expression 4*(2-6*(7-10)), we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). First, we solve any expressions within parentheses. Since there are no parentheses in this expression, we move on to the next step.
Next, we simplify any multiplications and divisions from left to right. In this case, we have 6*(7-10), which is equal to 6*(-3), which gives us -18.
Finally, we solve any additions and subtractions from left to right. In this case, we have 4*(-18), which gives us -72.
Therefore, the answer to the expression 4*(2-6*(7-10)) is -72.