Simplify the given expression. \( 4[10+2(7 \cdot 4-13)]= \)

First, let's simplify the expression step by step! Start with the innermost parentheses: \[ 7 \cdot 4 - 13 = 28 - 13 = 15 \] Now replace that in the original expression: \[ 4[10 + 2(15)] \] Next, calculate \(2(15)\): \[ 2 \cdot 15 = 30 \] Now, substitute that back into the expression: \[ 4[10 + 30] = 4[40] \] Finally, multiply: \[ 4 \cdot 40 = 160 \] So the simplified expression is \[ \boxed{160} \]