How do you simplify #(-3)^3 - (-4)^2 - (-12 + 7)#?

1 Answer
Aug 2, 2016

#-38#

Explanation:

The first step is to evaluate the Parenthesis. That is calculate the parts in brackets.

#(color(red)(-3))^3=(color(red)(-3)xxcolor(red)(-3)xxcolor(red)(-3))=color(red)(-27)#

#(color(blue)(-4))^2=(color(blue)(-4)xxcolor(blue)(-4))=color(blue)(16)#

#(color(magenta)(-12+7))=color(magenta)(-5)#

Now place these values into the expression and evaluate from left to right.

#rArrcolor(red)(-27)-color(blue)(16)-(color(magenta)(-5))#

#=-27-16+5=-43+5=-38#