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Evaluate the expression.

7+10÷[10÷(8+6–4)]

1 answer

To evaluate the expression \( 7 + 10 \div [10 \div (8 + 6 - 4)] \), we will follow the order of operations (PEMDAS/BODMAS).

  1. Evaluate inside the innermost parentheses: \[ 8 + 6 - 4 = 10 \]

  2. Update the expression: \[ 7 + 10 \div [10 \div 10] \]

  3. Evaluate the division inside the brackets: \[ 10 \div 10 = 1 \]

  4. Update the expression: \[ 7 + 10 \div 1 \]

  5. Evaluate the division: \[ 10 \div 1 = 10 \]

  6. Update the expression: \[ 7 + 10 \]

  7. Evaluate the addition: \[ 7 + 10 = 17 \]

Thus, the final result of the expression is \(\boxed{17}\).