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Evaluate the expression: 4 2 + 5 ⋅ 3 2 − 4 2 ÷ 2 3

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Evaluate the expression:
4
2
+
5
⋅
3
2
−
4
2
÷
2
3
4 
2
 +5⋅3 
2
 −4 
2
 ÷2 
3

Evaluate the expression:
42+53242÷234^2 + 5 \cdot 3^2 – 4^2 \div 2^3

Answer Options:

  • A) 12.625
  • B) 222
  • C) 45
  • D) 59



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1 Answer

    1. Calculate each power and operation individually:
      • 42=164^2 = 16
      • 32=93^2 = 9
      • 23=82^3 = 8
    2. Substitute these values into the expression: 16+5916÷816 + 5 \cdot 9 – 16 \div 8
    3. Perform multiplication and division from left to right:
      • 59=455 \cdot 9 = 45
      • 16÷8=216 \div 8 = 2

      So the expression now is: 16+45216 + 45 – 2

    4. Add and subtract from left to right:
      • 16+45=6116 + 45 = 61
      • 612=5961 – 2 = 59

    Answer:
    The correct answer is 59.