How do you simplify #(-8)\times [(-78)\div (-13)-(-9)]^{2}#?

1 Answer
Jim G.
Nov 19, 2016

#-1800#

Explanation:

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 and Subtraction)

Here we must evaluate the expression inside the square bracket first.

#(-8)xx[6+9]^2larrcolor(red)"division"#

#=(-8)xx[15]^2=(-8)xx225larrcolor(red)"exponent"#

#=-1800larrcolor(red)"multiplication"#

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