How do you evaluate #9( - 2) ^ { 2} - 5( 6) - 11#?

1 Answer
Jim G.
Mar 9, 2017

#-5#

Explanation:

2 points of note.

#• 9(-2)^2=9xx(-2)^2#

#• -5(6)=-5xx6#

When evaluating expressions 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 ]

#rArr9(-2)^2-5(6)-11#

#=(9xx4)-5(6)-11larrcolor(red)"Exponents"#

#=36-30-11larrcolor(red)"Multiplication"#

Subtract from left to right.

#=-5larrcolor(red)"Subtraction"#

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