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QUESTION

How do you simplify ##7\times ( 4^ { 3} - 6) \div 2##?

##203##

When evaluating expressions which contain ##color(blue)"mixed operations"## there is a particular order that must be followed.

Follow the order as set out in the acronym PEMDAS [Parenthesis (brackets), (powers), Multiplication, Division, Addition, Subtraction ]

##rArr7xx(color(red)(64)-6)÷2larrcolor(red)"exponent since inside bracket"##

##=7xx58÷2larr"parenthesis"##

multiplication and division are of equal precedence. When they are in the same calculation, evaluate from ##color(blue)"left to right"##

##=406÷2larr"multiplication"##

##=203larr"division"##

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