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Simplify: (5┬▓ + 3┬▓) / 2
15
17
19
21
17
Calculate the squares quickly (25 and 9), sum them (34), and divide by 2 mentally to get 17.
An expression containing powers and division: (5┬▓ + 3┬▓) / 2
Result=can+bmтАЛ
Calculate the squares quickly (25 and 9), sum them (34), and divide by 2 mentally to get 17.
Students often wrongly cancel the numbers inside the parenthesis with the denominator before squaring, like calculating (5+3)/2, which is mathematically incorrect.
Evaluate Exponents
Apply the power rule where 52=5├Ч5=25 and 32=3├Ч3=9.
52=25,32=9
Sum the Values
Add the evaluated squares: 25+9=34.
25+9=34
Final Division
Divide the sum by the denominator 2 to obtain the result: 34/2=17.
234тАЛ=17
B is correct because the calculation of (25 + 9) / 2 results in 34 / 2, which equals 17.
Always resolve parentheses and exponents before performing division or multiplication, as per the BODMAS/PEMDAS rule, to avoid order-of-operation errors in algebra.
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