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Sagot :

Answer:

3

Step-by-step explanation:

Given question:

To simplify -

[tex]14 + 16 \div {2}^{3} - (12 + {3}^{2} ) \div 7 + 2 \times ( - 5)[/tex]

Solution:

According to PEMDAS rule,

  • [First parenthesis]

[tex] = 14 + 16 \div {2}^{3} - (12 + 9 ) \div 7 + 2 \times ( - 5)[/tex]

[tex] = 14 + 16 \div {2}^{3} - 21 \div 7 + 2 \times ( - 5)[/tex]

  • [Then exponents]

[tex] = 14 + 16 \div 8 - 21 \div 7 + 2 \times ( - 5)[/tex]

  • [Then multiplication]

= 14 + 16 ÷ 8 - 21 ÷ 7 - 10

  • [Then division]

= 14 + 2 - 3 - 10

  • [Then addition]

= 16 - 13

  • [Then subtraction]

= 3 (Ans)