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Evaluate 2^(3)÷4×2+3(5-2)^(2)-3×2

Evaluate 23÷4×2+3(5−2)2−3×2 2^{3} \div 4 \times 2+3(5-2)^{2}-3 \times 2

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Full solution

Q. Evaluate 23÷4×2+3(5−2)2−3×2 2^{3} \div 4 \times 2+3(5-2)^{2}-3 \times 2
  1. Calculate Exponent: Calculate the value of 22 raised to the power of 33.23=2×2×2=82^{3} = 2 \times 2 \times 2 = 8
  2. Divide and Multiply: Divide the result by 44. \newline8÷4=28 \div 4 = 2
  3. Calculate Difference: Multiply the quotient by 22. \newline2×2=42 \times 2 = 4
  4. Square and Multiply: Calculate the difference inside the parentheses (5−2)(5 - 2).\newline5−2=35 - 2 = 3
  5. Multiply by 33: Raise the result to the power of 22.\newline32=3×3=93^{2} = 3 \times 3 = 9
  6. Multiply and Add: Multiply the square of the result by 33. 3×9=273 \times 9 = 27
  7. Multiply and Add: Multiply the square of the result by 33. \newline3×9=273 \times 9 = 27 Multiply 33 by 22. \newline3×2=63 \times 2 = 6
  8. Multiply and Add: Multiply the square of the result by 33.\newline3×9=273 \times 9 = 27Multiply 33 by 22.\newline3×2=63 \times 2 = 6Add the products and subtract the last term.\newline4+27−6=31−6=254 + 27 - 6 = 31 - 6 = 25

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