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

1 Answer
Jim G.
Nov 23, 2016

#203#

Explanation:

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), Exponents (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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