Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]4\cdot[11-(55-3^5):3]=4\cdot[11-(55-243):3]\\\\=4\cdot[11-(-188):3]=4\cdot(11+188:3)\\\\=4\cdot\left(11+\dfrac{188}{3}\right)=4\cdot\left(\dfrac{33}{3}+\dfrac{188}{3}\right)\\\\=4\cdot\dfrac{221}{3}=\dfrac{884}{3}=294\dfrac{2}{3}[/tex]
