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

1 Answer
Tony B
Dec 20, 2016

#-43#

Explanation:

#color(purple)("When multiplying or dividing, if the signs are different then the")##color(purple)("answer is negative. If the signs are the same then the answer is") ##color(purple)("positive")#

#(-2)^3-7(5)# is the same as:
#color(white)(.)#

#[color(white)(2/2)(-2)xx(-2)xx(-2)color(white)(2/2)] -1(+7)(+5)#
#" "color(red)(ul(uarrcolor(white)(2/2)" "uarr))" "color(blue)(darr) #
#" "color(red)(darr)" "color(blue)(darr)#
#[color(white)(2/2)" "(+4)" "xx(-2)color(white)(2/2)] -1(+35)#

#[color(white)(2/2)" "-8" "color(white)(2/2)] -35#

#color(white)(.)#
#color(white)(.)#
#" "-43#

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