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The value of 43тИТ72+(416тАЛ)2тИТ4+9├Ч1=
33
44
42
36
36
Use BODMAS order: calculate powers first, then divisions, then multiplication, and finally addition/subtraction. Work from left to right for similar priority operators.
An arithmetic expression involving powers, division, subtraction, and multiplication: 4┬│ - 7┬▓ + (16/4)2 - 4 + 9 * 1
BODMAS=Brackets,Orders,Division,Multiplication,Addition,Subtraction
Use BODMAS order: calculate powers first, then divisions, then multiplication, and finally addition/subtraction. Work from left to right for similar priority operators.
Students often make mistakes by calculating 16/4 before squaring the parenthetical expression or ignoring the order of operations, leading to incorrect signs.
Evaluate powers and brackets
First, evaluate the powers and the bracket: 43=64, 72=49, and inside the bracket (416тАЛ)=4. Then square the result of the bracket: 42=16.
64тИТ49+16тИТ4+9├Ч1
Perform multiplication
Perform the multiplication step according to BODMAS: 9├Ч1=9.
64тИТ49+16тИТ4+9
Perform addition and subtraction
Combine the terms from left to right: 64тИТ49=15; 15+16=31; 31тИТ4=27; 27+9=36.
36
D is correct because the step-by-step evaluation following the BODMAS rule yields the final value of 36.
Always remember the BODMAS/PEMDAS rule for competitive exams, as it is the most frequent cause of calculation errors in numerical ability sections.
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