Respuesta :

Given the expression below

[tex]8+6(6-2(5-4))[/tex]

Step 1: Using PEMDAS rule

P=> Parenthesis

E=>Exponent

M=>Multiplication

D=>Division

A=>Addition

S=> Subtraction

From the rule above, we will start our simplification with the parenthesis

Step 1: simplify (5-4)

[tex]\begin{gathered} 8+6(6-2(5-4) \\ 8+6(6-2(1)) \end{gathered}[/tex]

Step 2: Expand 2(1)=> 2x1, then simplify (6-2(1))

[tex]8+6(6-2(1))\Rightarrow8+6(6-2)\Rightarrow\cdot=8+6(4)[/tex]

Step 3: Expand 6(4)=>6 x 4

[tex]8+6(4)\Rightarrow8+6\times4\Rightarrow8+24[/tex]

Step 4: Add 8 and 24

[tex]8+24=32[/tex]

Hence, the final answer is 32