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Evaluate the expression. Do not round your answer. 5-(3^(2))/(2)=

Evaluate the expression.\newlineDo not round your answer.\newline5−322= 5-\frac{3^{2}}{2}=

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Full solution

Q. Evaluate the expression.\newlineDo not round your answer.\newline5−322= 5-\frac{3^{2}}{2}=
  1. Identify order of operations: Identify the order of operations.\newlineAccording to the order of operations (PEMDAS/BODMAS), we first evaluate any expressions inside parentheses () () , then exponents ^{} , followed by multiplication × \times and division ÷ \div from left to right, and finally addition + + and subtraction − - from left to right.
  2. Evaluate the exponent: Evaluate the exponent.\newlineThe expression inside the parentheses is 323^2, which means 33 raised to the power of 22.\newlineCalculation: 32=3×3=93^2 = 3 \times 3 = 9
  3. Divide by 22: Divide the result of the exponentiation by 22.\newlineNow we divide the result from Step 22 by 22.\newlineCalculation: 9/2=4.59 / 2 = 4.5
  4. Subtract from 55: Subtract the result from Step 33 from 55.\newlineFinally, we subtract the result from Step 33 from 55.\newlineCalculation: 5−4.5=0.55 - 4.5 = 0.5

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