How do you simplify #3 [(15-3)^2-:4]#?

1 Answer
Jim G.
Nov 27, 2016

#108#

Explanation:

When evaluating an expression with #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 ]

When there are 2 sets of brackets, as in this question then evaluate the inner bracket first.

#rArr3[12^2÷4]larrcolor(red)"inner bracket"#

#=3[144÷4]larrcolor(red)"exponent"#

#=3xx36larrcolor(red)"outer bracket"#

#=108larrcolor(red)" result of multiplication"#

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