Answer
$-3$
Work Step by Step
Apply the order of performing operations.
(A mnemonic taught in elementary schools:
PEMDAS, Please Excuse My Dear Aunt Sally
P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction )
$3-2(1-4)^{2}\div 6\cdot 2$ = $\quad$... Parentheses...
$ 3-2(-3)^{2}\cdot 2\div 6 = \quad$... Exponent
$ 3-2(9)\cdot 2\div 6= \quad$.. Multiply
$ 3-36\div 6= \quad$... Divide
$3-6=-3$
