How do you evaluate #5( - 2) ^ { 3} + 8( - 2) ^ { 2} + 3( - 2) - 7#?

1 Answer
Jim G.
Oct 10, 2017

#-21#

Explanation:

#"follow the order of operations as set out in PEMDAS"#

#"[Parenthesis (brackets), Exponents (powers),"#
#"Multiplication ,Division, Addition, Subtraction"]#

#5xxcolor(red)(-8)+8xxcolor(red)(4)+3xx-2-7larrcolor(red)"brackets/powers"#

#=color(magenta)(-40)color(magenta)(+32)color(magenta)(-6)-7larrcolor(red)"multiplication"#

#"addition/subtraction have equal precedence so evaluate"#
#"from left to right"#

#=-8-6-7=-21#

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