37
Question
Simplify: 841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)]
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Solution
The BODMAS rule can simplify any expression using these steps of solving:
Brackets (parts of a calculation inside brackets always come first).Orders (numbers involving powers or square roots).DivisionMultiplicationAdditionSubtraction
Now, using BODMAS rule, we solve the given expression 841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)] as follows:
841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)]=841÷[172−72+(72−44+43)]=841÷{172−72+[(72+43)−44]}=841÷[172−72+(115−44)]=841÷[172−(72+71)]
=841÷[172−143]=841÷29=841×129=29
Hence, 841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)]=29
The BODMAS rule can simplify any expression using these steps of solving:
Brackets (parts of a calculation inside brackets always come first).
Orders (numbers involving powers or square roots).
Division
Multiplication
Addition
Subtraction
Now, using BODMAS rule, we solve the given expression 841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)] as follows:
841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)]=841÷[172−72+(72−44+43)]=841÷{172−72+[(72+43)−44]}=841÷[172−72+(115−44)]=841÷[172−(72+71)]
=841÷[172−143]=841÷29=841×129=29
Hence, 841÷[172−72+(72−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯44−43)]=29
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