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Simplify: 7×6÷2-4^(2)

Simplify:\newline7×6÷2−427\times6\div2-4^{2}

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Full solution

Q. Simplify:\newline7×6÷2−427\times6\div2-4^{2}
  1. Identify Operations Order: Identify the operations and their order in the expression 7×6÷2−427\times6\div2-4^{2}.\newlineCalculation: Multiplication, Division, Exponentiation, Subtraction.
  2. Calculate Exponentiation: Calculate the exponentiation part first: 424^{2}.\newlineCalculation: 42=164^2 = 16.
  3. Perform Multiplication: Perform the multiplication: 7×67\times6.\newlineCalculation: 7×6=427\times6 = 42.
  4. Divide Result by 22: Divide the result of multiplication by 22: 42÷242\div2.\newlineCalculation: 42÷2=2142\div2 = 21.
  5. Subtract Exponentiation Result: Subtract the result of the exponentiation from the division: 21−1621-16.\newlineCalculation: 21−16=521 - 16 = 5.

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