Solve the Expression: 6·(3+5·2-13) Using Order of Operations

$6\cdot(3+5\cdot2-13)=$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore, we'll start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction we'll first perform the multiplication in the expression and then calculate the result of the addition and subtraction operations in the expression:

$6\cdot(3+5\cdot2-13)= \\ 6\cdot(3+10-13)= \\ 6\cdot0= \\ 0$We completed the calculation above by performing the remaining multiplication, and we also remembered that multiplying any number by 0 will always result in 0.

Therefore, the correct answer is answer B.