Respuesta :

The answer is:    " 19 " .

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Explanation:

To solve:

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Given:

" 4² + 6 ÷ 2 " ;

We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration);  which stands for:

           "Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;

Alternately:  "BE MD AS"  

           " Be Excused My Dear Aunt Sally (or Aunt Susan)" .

                         "Parentheses {alternative version:  "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .

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As such:  

Given:   " 4² + 6 ÷ 2 " , we have:  

"exponents", "addition" and "division" ;

So we can rewrite the problem as:

   "  (4²) + (6 ÷ 2) =

      (4 * 4) + (3)  =

       (16)   +  (3)  =  19 .

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The answer is:    " 19 " .

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