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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"##